Enumeration of finite groups

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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 inc...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser:
Blackburn, Simon R., Neumann, Peter M., Venkataraman, Geetha
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Cambridge Cambridge University Press 2007
Zusammenfassung:
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
Umfang:
1 Online-Ressource (xii, 281 Seiten)
Schriftenreihe:
Cambridge tracts in mathematics ; 173
ISBN:
9780511542756
DOI:
10.1017/CBO9780511542756
Schlagworte:
Endliche Gruppe
Abzählen
Finite groups
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