書誌事項

Perfect groups

Derek F. Holt and W. Plesken

(Oxford mathematical monographs)

Clarendon Press, 1989

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注記

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Bibliography: p. [354]-356

Includes indexes

内容説明・目次

内容説明

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.

目次

  • 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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詳細情報

  • NII書誌ID(NCID)
    BA07354071
  • ISBN
    • 0198535597
  • LCCN
    88032444
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Oxford
  • ページ数/冊数
    xii, 364 p.
  • 大きさ
    24 cm
  • 付属資料
    2 microfishes
  • 分類
  • 件名
  • 親書誌ID
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