Non-Fiction Books:

Enumeration of Finite Groups

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Description

How many groups of order n are there? This is a natural question for anyone studying group theory, and this Tract provides an exhaustive and up-to-date account of research into this question spanning almost fifty years. The authors presuppose an undergraduate knowledge of group theory, up to and including Sylow's Theorems, a little knowledge of how a group may be presented by generators and relations, a very little representation theory from the perspective of module theory, and a very little cohomology theory - but most of the basics are expounded here and the book is more or less self-contained. Although it is principally devoted to a connected exposition of an agreeable theory, the book does also contain some material that has not hitherto been published. It is designed to be used as a graduate text but also as a handbook for established research workers in group theory.

Author Biography:

Simon Blackburn is a Professor of Pure Mathematics at The Royal Holloway, University of London. He is also currently Head of Department in Mathematics at the Royal Holloway. His mathematical interests include group theory, combinatorics and cryptography and some of the connections between these areas. Peter Neumann is a Tutorial Fellow in Mathematics at the Queen's College and University Lecturer in Pure Mathematics, at Oxford University. His interests include many areas within algebra and group theory, including computational group theory, application of group theory in combinatorics, and nineteenth century history of group theory. Gettha Venkataraman is a Senior Lecturer in Mathematics in St. Stephen's College, at the University of Delhi. Her research interests involve enumerations of finite groups and other aspects of finite group theory. She is also interested in mathematics education for schools and the learning and teaching of mathematics at higher levels.
Release date NZ
October 18th, 2007
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
294
Dimensions
160x236x19
ISBN-13
9780521882170
Product ID
2162067

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