Groups Combinatorics And Geometry PDF Download
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Author | : A. A. Ivanov |
Publisher | : World Scientific |
Total Pages | : 350 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9789812564481 |
Download Groups Combinatorics & Geometry Book in PDF, ePub and Kindle
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 |
Total Pages | : 505 |
Release | : 1992-09-10 |
Genre | : Mathematics |
ISBN | : 0521406854 |
Download Groups, Combinatorics and Geometry Book in PDF, ePub and Kindle
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Author | : A A Ivanov |
Publisher | : World Scientific |
Total Pages | : 348 |
Release | : 2003-03-19 |
Genre | : Mathematics |
ISBN | : 9814486426 |
Download Groups, Combinatorics and Geometry Book in PDF, ePub and Kindle
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 | : Ezra Miller |
Publisher | : American Mathematical Soc. |
Total Pages | : 705 |
Release | : 2007 |
Genre | : Combinatorial analysis |
ISBN | : 0821837362 |
Download Geometric Combinatorics Book in PDF, ePub and Kindle
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 | : Tullio Ceccherini-Silberstein |
Publisher | : Springer Nature |
Total Pages | : 468 |
Release | : 2022-01-01 |
Genre | : Mathematics |
ISBN | : 3030881091 |
Download Topics in Groups and Geometry Book in PDF, ePub and Kindle
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 | : D.J. Collins |
Publisher | : Springer Science & Business Media |
Total Pages | : 248 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 3642580130 |
Download Algebra VII Book in PDF, ePub and Kindle
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 |
Total Pages | : 318 |
Release | : 2011-01-28 |
Genre | : Mathematics |
ISBN | : 3764399112 |
Download Combinatorial and Geometric Group Theory Book in PDF, ePub and Kindle
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 |
Total Pages | : 347 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9812383123 |
Download Groups, Combinatorics & Geometry Book in PDF, ePub and Kindle
"This book contains the proceedings of the L.M.S. Durham Symposium on Groups, Geometry and Combinatorics, July 16-26, 2001"--P. v.
Author | : Anders Bjorner |
Publisher | : Springer Science & Business Media |
Total Pages | : 371 |
Release | : 2006-02-25 |
Genre | : Mathematics |
ISBN | : 3540275967 |
Download Combinatorics of Coxeter Groups Book in PDF, ePub and Kindle
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
Author | : Emily H. Moore |
Publisher | : American Mathematical Soc. |
Total Pages | : 315 |
Release | : 2013-06-13 |
Genre | : Mathematics |
ISBN | : 0821891766 |
Download Difference Sets Book in PDF, ePub and Kindle
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