Finiteness Conditions and Generalized Soluble Groups. Part 1. (= Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 62).

Robinson, Derek J.S.:

ISBN 10: 3540056203 / ISBN 13: 9783540056201

Published by Berlin, Springer, 1972

About this Item

XIV, 210 Seiten Einband etwas berieben, Bibl.Ex., sonst guter und sauberer Zustand 9783540056201 Sprache: Englisch Gewicht in Gramm: 590 8° , Leinen- Hardcover/Pappeinband,

Seller Inventory # 139526

Bibliographic Details

• Title: Finiteness Conditions and Generalized Soluble Groups. Part 1. (= Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 62).
• Publisher: Berlin, Springer
• Publication Date: 1972
• Language: English
• ISBN 10: 3540056203
• ISBN 13: 9783540056201
• Binding: Hardcover
• Edition: 1.Auflage,.
• Weight: 590 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

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.