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portada finiteness conditions and generalized soluble groups: part 1
Type
Physical Book
Author
Publisher
Year
2010
Language
English
Pages
212
Format
Paperback
Dimensions
23.4 x 15.6 x 1.2 cm
Weight
0.33 kg.
ISBN
3642057136
ISBN13
9783642057137
Categories

finiteness conditions and generalized soluble groups: part 1

Derek J. S. Robinson (Author) · Springer · Paperback

finiteness conditions and generalized soluble groups: part 1 - Robinson, Derek J. S.

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Synopsis "finiteness conditions and generalized soluble groups: part 1"

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.

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