Enumeration of Finite Groups

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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"The book is a valuable contribution to this particular area of group theory. In addition to covering key results and techniques, it points towards a broad range of recent results and open problems." - Benjamin Klopsch

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Product details

• Date Published: November 2007
• format: Hardback
• isbn: 9780521882170
• length: 294 pages

• dimensions: 236 x 160 x 19 mm
• weight: 0.532kg
• contains: 37 exercises
• availability: Available