Finite Permutation Groups

Finite Permutation Groups
Author :
Publisher : Academic Press
Total Pages : 125
Release :
ISBN-10 : 9781483258294
ISBN-13 : 1483258297
Rating : 4/5 (297 Downloads)

Book Synopsis Finite Permutation Groups by : Helmut Wielandt

Download or read book Finite Permutation Groups written by Helmut Wielandt and published by Academic Press. This book was released on 2014-05-10 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Permutation Groups provides an introduction to the basic facts of both the theory of abstract finite groups and the theory of permutation groups. This book deals with older theorems on multiply transitive groups as well as on simply transitive groups. Organized into five chapters, this book begins with an overview of the fundamental concepts of notation and Frobenius group. This text then discusses the modifications of multiple transitivity and can be used to deduce an improved form of the classical theorem. Other chapters consider the concept of simply transitive permutation groups. This book discusses as well permutation groups in the framework of representation theory. The final chapter deals with Frobenius' theory of group characters. This book is a valuable resource for engineers, mathematicians, and research workers. Graduate students and readers who are interested in finite permutation groups will also find this book useful.


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The study of permutations groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite