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Enumeration of Finite Groups

Enumeration of Finite Groups

Hardcover

Series: Cambridge Tracts in Mathematics, Book 173

AlgebraGeneral Mathematics

ISBN10: 0521882176
ISBN13: 9780521882170
Publisher: Cambridge University Press
Published: Oct 18 2007
Pages: 294
Weight: 1.14
Height: 0.75 Width: 6.04 Depth: 9.21
Language: English
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.

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General Mathematics