Twelve Sporadic Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 3662035162
Total Pages : 175 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Twelve Sporadic Groups by : Robert L. Jr. Griess

Download or read book Twelve Sporadic Groups written by Robert L. Jr. Griess and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 20 sporadics involved in the Monster, the largest sporadic group, constitute the Happy Family. This book is a leisurely and rigorous study of two of their three generations. The level is suitable for graduate students with little background in general finite group theory, established mathematicians and mathematical physicists.

Twelve Sporadic Groups

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Publisher :
ISBN 13 : 9783662035177
Total Pages : 180 pages
Book Rating : 4.0/5 (351 download)

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Book Synopsis Twelve Sporadic Groups by : Robert L. Jr. Griess

Download or read book Twelve Sporadic Groups written by Robert L. Jr. Griess and published by . This book was released on 2014-01-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521413621
Total Pages : 434 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries by : A. A. Ivanov

Download or read book Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries written by A. A. Ivanov and published by Cambridge University Press. This book was released on 1999-06-17 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important monograph on finite group theory.

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

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Publisher : Cambridge University Press
ISBN 13 : 0521623499
Total Pages : 306 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Geometry of Sporadic Groups: Volume 2, Representations and Amalgams by : Aleksandr Anatolievich Ivanov

Download or read book Geometry of Sporadic Groups: Volume 2, Representations and Amalgams written by Aleksandr Anatolievich Ivanov and published by Cambridge University Press. This book was released on 1999 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.

Symmetry and the Monster

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Publisher : Oxford University Press
ISBN 13 : 0192807234
Total Pages : 264 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis Symmetry and the Monster by : Mark Ronan

Download or read book Symmetry and the Monster written by Mark Ronan and published by Oxford University Press. This book was released on 2007-07-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an exciting, fast-paced historical narrative ranging across two centuries, Ronan takes readers on an exhilarating tour of this final mathematical quest to understand symmetry.

A Little Piece of Ground

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Publisher : Haymarket Books
ISBN 13 : 1608465837
Total Pages : 240 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis A Little Piece of Ground by : Elizabeth Laird

Download or read book A Little Piece of Ground written by Elizabeth Laird and published by Haymarket Books. This book was released on 2016-02-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Little Piece Of Ground will help young readers understand more about one of the worst conflicts afflicting our world today. Written by Elizabeth Laird, one of Great Britain’s best-known young adult authors, A Little Piece Of Ground explores the human cost of the occupation of Palestinian lands through the eyes of a young boy. Twelve-year-old Karim Aboudi and his family are trapped in their Ramallah home by a strict curfew. In response to a Palestinian suicide bombing, the Israeli military subjects the West Bank town to a virtual siege. Meanwhile, Karim, trapped at home with his teenage brother and fearful parents, longs to play football with his friends. When the curfew ends, he and his friend discover an unused patch of ground that’s the perfect site for a football pitch. Nearby, an old car hidden intact under bulldozed building makes a brilliant den. But in this city there’s constant danger, even for schoolboys. And when Israeli soldiers find Karim outside during the next curfew, it seems impossible that he will survive. This powerful book fills a substantial gap in existing young adult literature on the Middle East. With 23,000 copies already sold in the United Kingdom and Canada, this book is sure to find a wide audience among young adult readers in the United States.

The Classification of Finite Simple Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853368
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Classification of Finite Simple Groups by : Michael Aschbacher

Download or read book The Classification of Finite Simple Groups written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2011 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.

Regular Subgroups of Primitive Permutation Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 082184654X
Total Pages : 87 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Regular Subgroups of Primitive Permutation Groups by : Martin W. Liebeck

Download or read book Regular Subgroups of Primitive Permutation Groups written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 2010 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses the classical problem of determining finite primitive permutation groups G with a regular subgroup B.

The Finite Simple Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1848009879
Total Pages : 310 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis The Finite Simple Groups by : Robert Wilson

Download or read book The Finite Simple Groups written by Robert Wilson and published by Springer Science & Business Media. This book was released on 2009-12-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classi?cation Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian) ?nite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].

The Classification of the Finite Simple Groups, Number 3

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803912
Total Pages : 446 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis The Classification of the Finite Simple Groups, Number 3 by : Daniel Gorenstein

Download or read book The Classification of the Finite Simple Groups, Number 3 written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR

The Finite Simple Groups

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1848009887
Total Pages : 310 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis The Finite Simple Groups by : Robert Wilson

Download or read book The Finite Simple Groups written by Robert Wilson and published by Springer Science & Business Media. This book was released on 2009-12-12 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classi?cation Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian) ?nite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].

The Monster Group and Majorana Involutions

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521889944
Total Pages : 267 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Monster Group and Majorana Involutions by : Aleksandr Anatolievich Ivanov

Download or read book The Monster Group and Majorana Involutions written by Aleksandr Anatolievich Ivanov and published by Cambridge University Press. This book was released on 2009-03-19 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous construction and uniqueness proof for the Monster group, detailing its relation to Majorana involutions.

The Fourth Janko Group

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Publisher : Clarendon Press
ISBN 13 : 0191523623
Total Pages : 250 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Fourth Janko Group by : Alexander A. Ivanov

Download or read book The Fourth Janko Group written by Alexander A. Ivanov and published by Clarendon Press. This book was released on 2004-11-04 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups - the fourth Janko group J_4. Aimed at graduates and researchers in group theory, geometry and algebra, Ivanov's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory. An indispensible resource, this book will be a unique and essential reference for researchers in the area. The author is a leading researcher in the field.

An Invitation to Abstract Mathematics

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Publisher : Springer Nature
ISBN 13 : 3030561747
Total Pages : 443 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis An Invitation to Abstract Mathematics by : Béla Bajnok

Download or read book An Invitation to Abstract Mathematics written by Béla Bajnok and published by Springer Nature. This book was released on 2020-10-27 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics. Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise. This second edition has been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. An Invitation to Abstract Mathematics is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts. From reviews of the first edition: Bajnok’s new book truly invites students to enjoy the beauty, power, and challenge of abstract mathematics. ... The book can be used as a text for traditional transition or structure courses ... but since Bajnok invites all students, not just mathematics majors, to enjoy the subject, he assumes very little background knowledge. Jill Dietz, MAA Reviews The style of writing is careful, but joyously enthusiastic.... The author’s clear attitude is that mathematics consists of problem solving, and that writing a proof falls into this category. Students of mathematics are, therefore, engaged in problem solving, and should be given problems to solve, rather than problems to imitate. The author attributes this approach to his Hungarian background ... and encourages students to embrace the challenge in the same way an athlete engages in vigorous practice. John Perry, zbMATH

Quilts: Central Extensions, Braid Actions, and Finite Groups

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Author :
Publisher : Springer
ISBN 13 : 3540455809
Total Pages : 189 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Quilts: Central Extensions, Braid Actions, and Finite Groups by : Tim Hsu

Download or read book Quilts: Central Extensions, Braid Actions, and Finite Groups written by Tim Hsu and published by Springer. This book was released on 2007-05-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quilts are 2-complexes used to analyze actions and subgroups of the 3-string braid group and similar groups. This monograph establishes the fundamentals of quilts and discusses connections with central extensions, braid actions, and finite groups. Most results have not previously appeared in a widely available form, and many results appear in print for the first time. This monograph is accessible to graduate students, as a substantial amount of background material is included. The methods and results may be relevant to researchers interested in infinite groups, moonshine, central extensions, triangle groups, dessins d'enfants, and monodromy actions of braid groups.

Notes on an Execution

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Publisher : HarperCollins
ISBN 13 : 006305275X
Total Pages : 337 pages
Book Rating : 4.0/5 (63 download)

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Book Synopsis Notes on an Execution by : Danya Kukafka

Download or read book Notes on an Execution written by Danya Kukafka and published by HarperCollins. This book was released on 2022-01-25 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: NATIONAL BESTSELLER • WINNER OF THE 2023 EDGAR AWARD FOR BEST NOVEL • NEW YORK TIMES BEST CRIME NOVEL OF THE YEAR “Defiantly populated with living women . . . beautifully drawn, dense with detail and specificity . . . Notes on an Execution is nuanced, ambitious and compelling.” —Katie Kitamura, NEW YORK TIMES BOOK REVIEW (Editors' Choice) "A searing portrait of the complicated women caught in the orbit of a serial killer. . . . Compassionate and thought-provoking." –BRIT BENNETT, #1 New York Times bestselling author of The Vanishing Half Recommended by New York Times Book Review • Los Angeles Times • Washington Post • Entertainment Weekly • Esquire • Good Housekeeping • USA Today • Buzzfeed • Goodreads • Real Simple • Marie Claire • Rolling Stone • Business Insider • Bustle • PopSugar • The Millions • The Guardian • and many more! In the tradition of Long Bright River and The Mars Room, a gripping and atmospheric work of literary suspense that deconstructs the story of a serial killer on death row, told primarily through the eyes of the women in his life—from the bestselling author of Girl in Snow. Ansel Packer is scheduled to die in twelve hours. He knows what he’s done, and now awaits execution, the same chilling fate he forced on those girls, years ago. But Ansel doesn’t want to die; he wants to be celebrated, understood. Through a kaleidoscope of women—a mother, a sister, a homicide detective—we learn the story of Ansel’s life. We meet his mother, Lavender, a seventeen-year-old girl pushed to desperation; Hazel, twin sister to Ansel’s wife, inseparable since birth, forced to watch helplessly as her sister’s relationship threatens to devour them all; and finally, Saffy, the detective hot on his trail, who has devoted herself to bringing bad men to justice but struggles to see her own life clearly. As the clock ticks down, these three women sift through the choices that culminate in tragedy, exploring the rippling fissures that such destruction inevitably leaves in its wake. Blending breathtaking suspense with astonishing empathy, Notes on an Execution presents a chilling portrait of womanhood as it simultaneously unravels the familiar narrative of the American serial killer, interrogating our system of justice and our cultural obsession with crime stories, asking readers to consider the false promise of looking for meaning in the psyches of violent men. "Poetic and mesmerizing . . . Powerful, important, intensely human, and filled with a unique examination of tragedy, one where the reader is left with a curious emotion: hope." —USA TODAY “A profound and staggering experience of empathy that challenges us to confront what it means to be human in our darkest moments. . . . I relished every page of this brilliant and gripping masterpiece."—ASHLEY AUDRAIN, New York Times bestselling author of The Push

Recent Developments in Lie Algebras, Groups and Representation Theory

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821869175
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Lie Algebras, Groups and Representation Theory by : Kailash C. Misra

Download or read book Recent Developments in Lie Algebras, Groups and Representation Theory written by Kailash C. Misra and published by American Mathematical Soc.. This book was released on 2012 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.