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Author: A. A. Ivanov
Publisher: World Scientific
ISBN: 9789812564481
Category : Mathematics
Languages : en
Pages : 350
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Book Description
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.
Author: A. A. Ivanov
Publisher: World Scientific
ISBN: 9789812564481
Category : Mathematics
Languages : en
Pages : 350
Get Book
Book Description
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.
Author: Martin W. Liebeck
Publisher: Cambridge University Press
ISBN: 0521406854
Category : Mathematics
Languages : en
Pages : 505
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Book Description
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Author: Ezra Miller
Publisher: American Mathematical Soc.
ISBN: 0821837362
Category : Combinatorial analysis
Languages : en
Pages : 705
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Book Description
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.
Author: A A Ivanov
Publisher: World Scientific
ISBN: 9814486426
Category : Mathematics
Languages : en
Pages : 348
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Book Description
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
Author: Roger C. Lyndon
Publisher: Cambridge University Press
ISBN: 0521316944
Category : Mathematics
Languages : en
Pages : 231
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Book Description
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.
Author: D.J. Collins
Publisher: Springer Science & Business Media
ISBN: 3642580130
Category : Mathematics
Languages : en
Pages : 248
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Book Description
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
Author: Oleg Bogopolski
Publisher: Springer Science & Business Media
ISBN: 3764399112
Category : Mathematics
Languages : en
Pages : 318
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Book Description
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.
Author: A. A. Ivanov
Publisher: World Scientific
ISBN: 9812383123
Category : Mathematics
Languages : en
Pages : 347
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Book Description
"This book contains the proceedings of the L.M.S. Durham Symposium on Groups, Geometry and Combinatorics, July 16-26, 2001"--P. v.
Author: Tullio Ceccherini-Silberstein
Publisher: Springer Nature
ISBN: 3030881091
Category : Mathematics
Languages : en
Pages : 468
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Book Description
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.
Author: Anders Bjorner
Publisher: Springer Science & Business Media
ISBN: 3540275967
Category : Mathematics
Languages : en
Pages : 371
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Book Description
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
