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.

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Yes, you can access Groups, Combinatorics And Geometry by Alexander Anatolievich Ivanov, Martin W Liebeck, Jan Saxl in PDF and/or ePUB format, as well as other popular books in Mathematics & Counting & Numeration. We have over one million books available in our catalogue for you to explore.

Information

Publisher

World Scientific

Year

2003

ISBN

9789812564481

Topic

Mathematics

Subtopic

Counting & Numeration

Index

Mathematics

Preface
CONTENTS
List of authors and addresses
Classification of Simple K*-Groups of Finite Morley Rank and Even Type: Geometric Aspects
Curtis-Phan-Tits Theory
REPRESENTATION THEORY OF SYMMETRIC GROUPS AND THEIR DOUBLE COVERS
Coherent configurations, association schemes and permutation groups
MATHEMATICAL DEVELOPMENTS FROM THE ANALYSIS OF RIFFLE SHUFFLING
DERANGEMENTS IN SIMPLE AND PRIMITIVE GROUPS
Computing with matrix groups*
A survey of maximal subgroups of exceptional groups of Lie type
Bases of primitive permutation groups
Finite groups of local characteristic p An Overview
Modular subgroup arithmetic
Counting Nets in the Monster
Overgroups of finite quasiprimitive permutation groups.
Old groups can learn new tricks
SHADOWS OF ELEMENTS, SOLVABILITY OF FINITE QUOTIENTS AND THE MARGULIS-PLATONOV CONJECTURE
Applications of random generation to residual properties of some infinite groups
LOW DIMENSIONAL REPRESENTATIONS OF FINITE QUASISIMPLE GROUPS
STRUCTURE AND PRESENTATIONS OF LIE-TYPE GROUPS
Vertex stabilizers of locally projective groups of automorphisms of graphs. A summary
Computing in the Monster
References