Automorphisms of finite groups

著者

書誌事項

Automorphisms of finite groups

Inder Bir Singh Passi, Mahender Singh, Manoj Kumar Yadav

Springer, c2018 , [Printforce]

  • : [hardcover]

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注記

Description based on: [hardcover], c2018

[Reprint]. Originally published: Singapore : Springer , c2018

"Printed by Printforce, the Netherlands"--P. [226]

"(C) Springer Nature Singapore Pte Ltd. 2018"--T.p.verso

Originally issued in the series: Springer monographs in mathematics

Includes bibliographical references (p. 209-213) and index

内容説明・目次

内容説明

The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.

目次

Introduction.- p-groups.- Fundamental exact sequence of Wells.- Automorphism groups of finite groups.- Groups with Divisibility Property-I.- Groups with Divisibility Property-II.- Groups without Divisibility Property.

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詳細情報

  • NII書誌ID(NCID)
    BB29074440
  • ISBN
    • 9789811328947
  • 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,[Netherlands]
  • ページ数/冊数
    xix, 217 p.
  • 大きさ
    25 cm
  • 件名
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