Sylow theory, formations and fitting classes in locally finite groups

著者

• Dixon, Martyn R. (Martyn Russell)

書誌事項

Sylow theory, formations and fitting classes in locally finite groups

Martyn R. Dixon

（Series in algebra, v. 2）

World Scientific, c1994

注記

Includes bibliographical references

内容説明・目次

内容説明

This book is concerned with the generalizations of Sylow theorems and the related topics of formations and the fitting of classes to locally finite groups. It also contains details of Sunkov's and Belyaev'ss results on locally finite groups with min-p for all primes p. This is the first time many of these topics have appeared in book form. The body of work here is fairly complete.

目次

• Part 1 Basic Concepts: Group Theoretical Classes and Closure Operations
• Radicals and Residuals
• Local Systems
• The Minimum Condition and Cemikov Groups. Part 2 Sylow Theory in Locally Finite Groups: Some Conjugacy Theorems
• The Asar-Hartley Theorem for a General Set of Primes
• Groups with Min-p
• Good Sylow Subgroups. Part 3 Groups Satisfying min-p for all Primes p: Sylow Theory in Groups with min-p for all Primes p
• The 2-Radicable part of a group with min-p for all p
• The Structure of Groups with min-p for all primes p. Part 4 Groups with Conjugate Sylow Subgroups: Upper p-Separable Groups
• Groups with the Minimum Condition on Centralizers
• Completely Sylow Integrated Groups
• Metabelian Groups with Min-n. Part 5 Sylow Bases in Locally Finite Groups: Sylow Bases in U-Groups
• Sylow Bases in Groups with min-p for all p
• co-Hopfian Groups. (Part contents).

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詳細情報

• NII書誌ID(NCID): BA24524247
• ISBN:
  • 9810217951
• LCCN: 94030313
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: xiii, 304 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QA177
  • DC20 : 512/.2
• 件名:
  • LCSH : Finite groups
  • LCSH : Sylow subgroups
• 親書誌ID:
  • BA21239867