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Enumeration of Finite Groups.

Enumeration of Finite Groups.

・ISBN 978-0-521-88217-0 hard GB£ 121.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-54275-6

著者・編者Blackburn, Simon R. / Neumann, Peter M. / Venkataraman, Geetha,
シリーズCambridge Tracts in Mathematics
出版社(Cambridge University Press, UK)
出版年月2007
ページ数294 pp.
言語ENG
ニュース番号<M25-8236>

解説

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.