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.

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

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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.

Twelve Sporadic Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540627784
Total Pages : 184 pages
Book Rating : 4.6/5 (277 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 1998-08-19 with total page 184 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.

Sporadic Groups

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Publisher : Cambridge University Press
ISBN 13 : 9780521420495
Total Pages : 336 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis Sporadic Groups by : Michael Aschbacher

Download or read book Sporadic Groups written by Michael Aschbacher and published by Cambridge University Press. This book was released on 1994-03-25 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups. Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This is followed by the standard construction of Conway of the Leech lattice and the Conway group. The Monster is constructed as the automorphism group of the Griess algebra using some of the best features of the approaches of Griess, Conway, and Tits, plus a few new wrinkles. Researchers in finite group theory will find this text invaluable. The subjects treated will interest combinatorists, number theorists, and conformal field theorists.

Classifying Spaces of Sporadic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844741
Total Pages : 310 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classifying Spaces of Sporadic Groups by : David J. Benson

Download or read book Classifying Spaces of Sporadic Groups written by David J. Benson and published by American Mathematical Soc.. This book was released on 2008 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology.

Applied Combinatorics on Words

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Publisher : Cambridge University Press
ISBN 13 : 9780521848022
Total Pages : 646 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Applied Combinatorics on Words by : M. Lothaire

Download or read book Applied Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 2005-07-11 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

The Monster Group and Majorana Involutions

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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 Finite Simple Groups

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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 Theory of Information and Coding

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Publisher : Cambridge University Press
ISBN 13 : 9780521831857
Total Pages : 414 pages
Book Rating : 4.8/5 (318 download)

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Book Synopsis The Theory of Information and Coding by : R. J. McEliece

Download or read book The Theory of Information and Coding written by R. J. McEliece and published by Cambridge University Press. This book was released on 2004-07-15 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Student edition of the classic text in information and coding theory

Subgroup Complexes

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805010
Total Pages : 378 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Subgroup Complexes by : Stephen D. Smith

Download or read book Subgroup Complexes written by Stephen D. Smith and published by American Mathematical Soc.. This book was released on 2011-11-10 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes.

Solving Polynomial Equation Systems II

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Publisher : Cambridge University Press
ISBN 13 : 9780521811569
Total Pages : 792 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Solving Polynomial Equation Systems II by : Teo Mora

Download or read book Solving Polynomial Equation Systems II written by Teo Mora and published by Cambridge University Press. This book was released on 2003 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on Buchberger theory and its application to the algorithmic view of commutative algebra. The presentation is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in its algorithmization.

Groups, Combinatorics and Geometry

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Publisher : Cambridge University Press
ISBN 13 : 0521406854
Total Pages : 505 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Groups, Combinatorics and Geometry by : Martin W. Liebeck

Download or read book Groups, Combinatorics and Geometry written by Martin W. Liebeck and published by Cambridge University Press. This book was released on 1992-09-10 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers on the subject of the classification of finite simple groups.

Group Theory

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Publisher : Springer
ISBN 13 : 3540397930
Total Pages : 409 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Group Theory by : Hsio-Fu Tuan

Download or read book Group Theory written by Hsio-Fu Tuan and published by Springer. This book was released on 2006-11-14 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Riemann Surfaces

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Publisher : Cambridge University Press
ISBN 13 : 0521733073
Total Pages : 416 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Geometry of Riemann Surfaces by : William J. Harvey

Download or read book Geometry of Riemann Surfaces written by William J. Harvey and published by Cambridge University Press. This book was released on 2010-02-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original research and expert surveys on Riemann surfaces.

Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras

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Publisher : Cambridge University Press
ISBN 13 : 9780521366380
Total Pages : 846 pages
Book Rating : 4.3/5 (663 download)

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Book Synopsis Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras by : Theodore W. Palmer

Download or read book Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras written by Theodore W. Palmer and published by Cambridge University Press. This book was released on 1994 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second of two volumes gives a modern exposition of the theory of Banach algebras.

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.

Finite Geometry and Combinatorics

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Publisher : Cambridge University Press
ISBN 13 : 9780521448505
Total Pages : 428 pages
Book Rating : 4.4/5 (485 download)

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Book Synopsis Finite Geometry and Combinatorics by : Albrecht Beutelspacher

Download or read book Finite Geometry and Combinatorics written by Albrecht Beutelspacher and published by Cambridge University Press. This book was released on 1993 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.