Permutation Groups and Cartesian Decompositions

Permutation Groups and Cartesian Decompositions
Author :
Publisher : Cambridge University Press
Total Pages : 338
Release :
ISBN-10 : 9781316999059
ISBN-13 : 131699905X
Rating : 4/5 (59 Downloads)

Synopsis Permutation Groups and Cartesian Decompositions by : Cheryl E. Praeger

Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are most useful for studying symmetric structures such as graphs, codes and designs. Modern treatments of the O'Nan–Scott theory are presented not only for primitive permutation groups but also for the larger families of quasiprimitive and innately transitive groups, including several classes of infinite permutation groups. Their precision is sharpened by the introduction of a cartesian decomposition concept. This facilitates reduction arguments for primitive groups analogous to those, using orbits and partitions, that reduce problems about general permutation groups to primitive groups. The results are particularly powerful for finite groups, where the finite simple group classification is invoked. Applications are given in algebra and combinatorics to group actions that preserve cartesian product structures. Students and researchers with an interest in mathematical symmetry will find the book enjoyable and useful.

Permutation Groups and Cartesian Decompositions

Permutation Groups and Cartesian Decompositions
Author :
Publisher : London Mathematical Society Le
Total Pages : 338
Release :
ISBN-10 : 9780521675062
ISBN-13 : 0521675065
Rating : 4/5 (62 Downloads)

Synopsis Permutation Groups and Cartesian Decompositions by : Cheryl E. Praeger

Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
Author :
Publisher : Cambridge University Press
Total Pages : 177
Release :
ISBN-10 : 9781107627857
ISBN-13 : 1107627850
Rating : 4/5 (57 Downloads)

Synopsis Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups by : Tullio Ceccherini-Silberstein

A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.

Mathematical Reviews

Mathematical Reviews
Author :
Publisher :
Total Pages : 892
Release :
ISBN-10 : UOM:39015082440762
ISBN-13 :
Rating : 4/5 (62 Downloads)

Synopsis Mathematical Reviews by :

Algebra Colloquium

Algebra Colloquium
Author :
Publisher :
Total Pages : 576
Release :
ISBN-10 : UOM:39015059033483
ISBN-13 :
Rating : 4/5 (83 Downloads)

Synopsis Algebra Colloquium by :

Algebra Colloquium, the quarterly journal of the Chinese Academy of Sciences, Beijing, China, carries research articles in the field of pure and applied algebra. It may also include papers from related areas which have applications to algebra.

Introduction to Approximate Groups

Introduction to Approximate Groups
Author :
Publisher : Cambridge University Press
Total Pages : 221
Release :
ISBN-10 : 9781108571609
ISBN-13 : 1108571603
Rating : 4/5 (09 Downloads)

Synopsis Introduction to Approximate Groups by : Matthew C. H. Tointon

Approximate groups have shot to prominence in recent years, driven both by rapid progress in the field itself and by a varied and expanding range of applications. This text collects, for the first time in book form, the main concepts and techniques into a single, self-contained introduction. The author presents a number of recent developments in the field, including an exposition of his recent result classifying nilpotent approximate groups. The book also features a considerable amount of previously unpublished material, as well as numerous exercises and motivating examples. It closes with a substantial chapter on applications, including an exposition of Breuillard, Green and Tao's celebrated approximate-group proof of Gromov's theorem on groups of polynomial growth. Written by an author who is at the forefront of both researching and teaching this topic, this text will be useful to advanced students and to researchers working in approximate groups and related areas.

Finite Group Theory

Finite Group Theory
Author :
Publisher : Cambridge University Press
Total Pages : 320
Release :
ISBN-10 : 0521786754
ISBN-13 : 9780521786751
Rating : 4/5 (54 Downloads)

Synopsis Finite Group Theory by : M. Aschbacher

The book provides the basic foundations for the local theory of finite groups, the theory of classical linear groups, and the theory of buildings and BN-pairs.

Israel Journal of Mathematics

Israel Journal of Mathematics
Author :
Publisher :
Total Pages : 784
Release :
ISBN-10 : IND:30000130861275
ISBN-13 :
Rating : 4/5 (75 Downloads)

Synopsis Israel Journal of Mathematics by : Moʻatsah ha-leʼumit le-meḥḳar ule-fituaḥ (Israel)

Combinatorics: The Art of Counting

Combinatorics: The Art of Counting
Author :
Publisher : American Mathematical Soc.
Total Pages : 304
Release :
ISBN-10 : 9781470460327
ISBN-13 : 1470460327
Rating : 4/5 (27 Downloads)

Synopsis Combinatorics: The Art of Counting by : Bruce E. Sagan

This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.

Gazette - Australian Mathematical Society

Gazette - Australian Mathematical Society
Author :
Publisher :
Total Pages : 388
Release :
ISBN-10 : UOM:39015068689150
ISBN-13 :
Rating : 4/5 (50 Downloads)

Synopsis Gazette - Australian Mathematical Society by : Australian Mathematical Society