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Enumeration of finite groups

Author: Simon R Blackburn; P M Neumann; Geetha Venkataraman
Publisher: Cambridge ; New York : Cambridge University Press, 2007.
Series: Cambridge tracts in mathematics, 173.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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 50 years."--Jacket.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Simon R Blackburn; P M Neumann; Geetha Venkataraman
ISBN: 9780521882170 0521882176
OCLC Number: 154682311
Description: xii, 281 pages ; 24 cm.
Contents: Some basic observations --
Preliminaries --
Enumerating p-groups: a lower bound --
Enumerating p-groups: upper bounds --
Some more preliminaries --
Group extensions and cohomology --
Some representation theory --
Primitive soluble linear groups --
The orders of groups --
Conjugacy classes of maximal soluble subgroups of symmetric groups --
Enumeration of finite groups with abelian Sylow subgroups --
Maximal soluble linear groups --
Conjugacy classes of maximal soluble subgroups of the general linear groups --
Pyber's theorem: the soluble case --
Pyber's theorem: the general case --
Enumeration within varieties of abelian groups --
Enumeration within small varieties of A-groups --
Enumeration within small varieties of p-groups.
Series Title: Cambridge tracts in mathematics, 173.
Responsibility: Simon R. Blackburn, Peter M. Neumann, Geetha Venkataraman.
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Abstract:

First text to focus on exciting area of group-theoretic research: the question 'how many groups of order n are there?'  Read more...

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

 
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