Finiteness conditions and generalized soluble groups

書誌事項

Finiteness conditions and generalized soluble groups

[by] Derek J.S. Robinson

(Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 62-63)

Springer-Verlag, 1972

  • pt. 1
  • pt. 2

大学図書館所蔵 件 / 60

この図書・雑誌をさがす

注記

Bibliography: pt. 1, p. [187]-203; pt. 2, p. [204]-249

Includes indexes

内容説明・目次

巻冊次

pt. 2 ISBN 9783540055723

目次

Generalized Nilpotent Groups.- Engel Groups.- Local Theorems and Generalized Soluble Groups.- Residually Finite Groups.- Some Topics in the Theory of Infinite Soluble Groups.
巻冊次

pt. 1 ISBN 9783540056201

内容説明

This book is a study of group theoretical properties of two dis parate kinds, firstly finiteness conditions or generalizations of fini teness and secondly generalizations of solubility or nilpotence. It will be particularly interesting to discuss groups which possess properties of both types. The origins of the subject may be traced back to the nineteen twenties and thirties and are associated with the names of R. Baer, S. N. Cernikov, K. A. Hirsch, A. G. Kuros, 0.]. Schmidt and H. Wie landt. Since this early period, the body of theory has expanded at an increasingly rapid rate through the efforts of many group theorists, particularly in Germany, Great Britain and the Soviet Union. Some of the highest points attained can, perhaps, be found in the work of P. Hall and A. I. Mal'cev on infinite soluble groups. Kuras's well-known book "The theory of groups" has exercised a strong influence on the development of the theory of infinite groups: this is particularly true of the second edition in its English translation of 1955. To cope with the enormous increase in knowledge since that date, a third volume, containing a survey of the contents of a very large number of papers but without proofs, was added to the book in 1967.

目次

1. Fundamental Concepts in the Theory of Infinite Groups.- 2. Soluble and Nilpotent Groups.- 3. Maximal and Minimal Conditions.- 4. Finiteness Conditions on Conjugates and Commutators.- 5. Finiteness Conditions on the Subnormal Structure of a Group.- Author Index.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BA11049774
  • ISBN
    • 3540056203
    • 354005572X
  • LCCN
    74189458
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; New York
  • ページ数/冊数
    2 v.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
ページトップへ