Bibliographic Information

Perfect groups

Derek F. Holt and W. Plesken

(Oxford mathematical monographs)

Clarendon Press, 1989

Available at  / 28 libraries

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2 microfishes in pocket

Bibliography: p. [354]-356

Includes indexes

Description and Table of Contents

Description

The aim of this book is to provide a systematic source of examples of finite perfect groups. The constructions of perfect groups are discussed from two viewpoints: classifying finite perfect groups of small order, and using infinite perfect groups to construct infinite sequences of finite perfect factor groups. The first part of the book is theoretical, centering on the "graph of perfect groups". These constructions throw light on some interesting subgraphs and on asymptotic behaviour. The second section contains two sets of tables which include most perfect groups of order, up to a million, and low-dimensional perfect (crystallographic) space groups.

Table of Contents

  • Perfect groups with nontrivial Fitting subgroup - maximal Frattini extensions
  • systematic enumeration of finite perfect groups
  • basic structure and enumeration of perfect space groups
  • tables of finite perfect groups
  • tables of perfect space groups
  • mapping a finitely presented group onto a group in the tables.

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Details

  • NCID
    BA07354071
  • ISBN
    • 0198535597
  • LCCN
    88032444
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Oxford
  • Pages/Volumes
    xii, 364 p.
  • Size
    24 cm
  • Attached Material
    2 microfishes
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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