Enumeration of Finite Groups

Simon R. Blackburn; Peter M. Neumann; Geetha Venkataraman

doi:10.1017/CBO9780511542756

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Simon R. Blackburn, Royal Holloway, University of London, Peter M. Neumann, University of Oxford, Geetha Venkataraman, University of Delhi

Publisher:: Cambridge University Press
Online publication date:: January 2010
Print publication year:: 2007
Online ISBN:: 9780511542756
DOI:: https://doi.org/10.1017/CBO9780511542756

Subjects:: Mathematics (general), Mathematics, Algebra
Series:: Cambridge Tracts in Mathematics (173)

111.00 (GBP)

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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.

'… a welcome and well-written addition to the theory of finite groups.'

Source: EMS Newsletter

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Enumeration of Finite Groups

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