Groups Combinatorics & Geometry

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Publisher : World Scientific
ISBN 13 : 9789812564481
Total Pages : 350 pages
Book Rating : 4.5/5 (644 download)

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Book Synopsis Groups Combinatorics & Geometry by : A. A. Ivanov

Download or read book Groups Combinatorics & Geometry written by A. A. Ivanov and published by World Scientific. This book was released on 2003 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 20 years, the theory of groups in particular simplegroups, finite and algebraic has influenced a number of diverseareas of mathematics. Such areas include topics where groups have beentraditionally applied, such as algebraic combinatorics, finitegeometries, Galois theory and permutation groups, as well as severalmore recent developments.

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.

Groups, Combinatorics and Geometry

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Publisher : World Scientific
ISBN 13 : 9814486426
Total Pages : 348 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Groups, Combinatorics and Geometry by : A A Ivanov

Download or read book Groups, Combinatorics and Geometry written by A A Ivanov and published by World Scientific. This book was released on 2003-03-19 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 20 years, the theory of groups — in particular simple groups, finite and algebraic — has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups. This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications. Contents:Curtis–Phan–Tits Theory (C D Bennett et al.)Derangements in Simple and Primitive Groups (J Fulman & R Guralnick)Computing with Matrix Groups (W M Kantor & Á Seress)Bases of Primitive Permutation Groups (M W Liebeck & A Shalev)Modular Subgroup Arithmetic (T W Müller)Counting Nets in the Monster (S P Norton)Overgroups of Finite Quasiprimitive Permutation Groups (C E Praeger)Old Groups Can Learn New Tricks (L Pyber)Structure and Presentations of Lie-Type Groups (F G Timmesfeld)Computing in the Monster (R A Wilson)and other papers Readership: Graduate students, researchers and academics in algebra. Keywords:Simple Groups;Algebraic Combinatorics;Finite Geometry;Permutation Groups. Probabilistic Group

Geometric Combinatorics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837362
Total Pages : 705 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Combinatorics by : Ezra Miller

Download or read book Geometric Combinatorics written by Ezra Miller and published by American Mathematical Soc.. This book was released on 2007 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.

Combinatorial and Geometric Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3764399112
Total Pages : 315 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Combinatorial and Geometric Group Theory by : Oleg Bogopolski

Download or read book Combinatorial and Geometric Group Theory written by Oleg Bogopolski and published by Springer Science & Business Media. This book was released on 2011-01-28 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.

Algebra VII

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Publisher : Springer Science & Business Media
ISBN 13 : 3642580130
Total Pages : 248 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Algebra VII by : D.J. Collins

Download or read book Algebra VII written by D.J. Collins and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996

Topics in Groups and Geometry

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Author :
Publisher : Springer Nature
ISBN 13 : 3030881091
Total Pages : 468 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Topics in Groups and Geometry by : Tullio Ceccherini-Silberstein

Download or read book Topics in Groups and Geometry written by Tullio Ceccherini-Silberstein and published by Springer Nature. This book was released on 2022-01-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random walks on groups. The results are unified under the common theme of Gromov’s theorem, namely that finitely generated groups of polynomial growth are virtually nilpotent. This beautiful result gave birth to a fascinating new area of research which is still active today. The purpose of the book is to collect these naturally related results together in one place, most of which are scattered throughout the literature, some of them appearing here in book form for the first time. In this way, the connections between these topics are revealed, providing a pleasant introduction to geometric group theory based on ideas surrounding Gromov's theorem. The book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups.

Groups, Combinatorics & Geometry

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Publisher : World Scientific
ISBN 13 : 9812383123
Total Pages : 347 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Groups, Combinatorics & Geometry by : A. A. Ivanov

Download or read book Groups, Combinatorics & Geometry written by A. A. Ivanov and published by World Scientific. This book was released on 2003 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book contains the proceedings of the L.M.S. Durham Symposium on Groups, Geometry and Combinatorics, July 16-26, 2001"--P. v.

Difference Sets

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Publisher : American Mathematical Soc.
ISBN 13 : 0821891766
Total Pages : 315 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Difference Sets by : Emily H. Moore

Download or read book Difference Sets written by Emily H. Moore and published by American Mathematical Soc.. This book was released on 2013-06-13 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference sets belong both to group theory and to combinatorics. Studying them requires tools from geometry, number theory, and representation theory. This book lays a foundation for these topics, including a primer on representations and characters of f

Combinatorics of Coxeter Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 3540275967
Total Pages : 371 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Combinatorics of Coxeter Groups by : Anders Bjorner

Download or read book Combinatorics of Coxeter Groups written by Anders Bjorner and published by Springer Science & Business Media. This book was released on 2006-02-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a rich variety of exercises to accompany the exposition of Coxeter groups Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups

Combinatorial and Geometric Group Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821828223
Total Pages : 275 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Combinatorial and Geometric Group Theory by : Sean Cleary

Download or read book Combinatorial and Geometric Group Theory written by Sean Cleary and published by American Mathematical Soc.. This book was released on 2002 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compact Riemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.

Topics in Combinatorial Group Theory

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Publisher : Birkhäuser
ISBN 13 : 3034885873
Total Pages : 174 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Topics in Combinatorial Group Theory by : Gilbert Baumslag

Download or read book Topics in Combinatorial Group Theory written by Gilbert Baumslag and published by Birkhäuser. This book was released on 2012-12-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.

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.

Groups and Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521316941
Total Pages : 236 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Groups and Geometry by : Roger C. Lyndon

Download or read book Groups and Geometry written by Roger C. Lyndon and published by Cambridge University Press. This book was released on 1985-03-14 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1985 book is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and leads the reader to the frontiers of current research at the time of publication.

Combinatorial and Geometric Group Theory, Edinburgh 1993

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Publisher : Cambridge University Press
ISBN 13 : 9780521465953
Total Pages : 340 pages
Book Rating : 4.4/5 (659 download)

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Book Synopsis Combinatorial and Geometric Group Theory, Edinburgh 1993 by : Andrew J. Duncan

Download or read book Combinatorial and Geometric Group Theory, Edinburgh 1993 written by Andrew J. Duncan and published by Cambridge University Press. This book was released on 1995 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in 1993, brought together some of the leading research workers in the subject. Some of the survey articles and contributed papers presented at the meeting are collected in this volume. The former cover a number of areas of current interest and include papers by: S. M. Gersten, R. I. Grigorchuk, P. H. Kropholler, A. Lubotzky, A. A. Razborov and E. Zelmanov. The contributed articles, all refereed, range over a wide number of topics in combinatorial and geometric group theory and related topics. The volume represents a summary of the state of knowledge of the field, and as such will be indispensable to all research workers in the area.

Topics in Geometric Group Theory

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Publisher : University of Chicago Press
ISBN 13 : 9780226317212
Total Pages : 348 pages
Book Rating : 4.3/5 (172 download)

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Book Synopsis Topics in Geometric Group Theory by : Pierre de la Harpe

Download or read book Topics in Geometric Group Theory written by Pierre de la Harpe and published by University of Chicago Press. This book was released on 2000-09-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.

Office Hours with a Geometric Group Theorist

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Publisher : Princeton University Press
ISBN 13 : 1400885396
Total Pages : 456 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Office Hours with a Geometric Group Theorist by : Matt Clay

Download or read book Office Hours with a Geometric Group Theorist written by Matt Clay and published by Princeton University Press. This book was released on 2017-07-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups—actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.