Enumeration of Finite Groups (Cambridge Tracts in Mathematics)

by Simon R Blackburn, Peter M. Neumann, and Geetha Venkataraman

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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.
  • ISBN13 9780521882170
  • Publish Date 18 October 2007
  • Publish Status Active
  • Out of Print 11 March 2022
  • Publish Country GB
  • Imprint Cambridge University Press
  • Format Hardcover
  • Pages 294
  • Language English