(Ebook) Enumeration of finite groups by Simon R. Blackburn, Peter M. Neumann OBE, Geetha Venkataraman ISBN 9780511355899, 9780521882170, 0511355890, 0521882176

(Ebook) Enumeration of finite groups by Simon R. Blackburn, Peter M. Neumann OBE, Geetha Venkataraman ISBN 9780511355899, 9780521882170, 0511355890, 0521882176

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.