Fundamentals of the Theory of Groups.

Kargapolov, M. I., Merzljakov, Ju. I., Burns, Robert G. (tr.)

ISBN 10: 0387903968 / ISBN 13: 9780387903965

Published by Springer-Verlag, New York, Heidelberg, Berlin, 1979

About this Item

24 x 16 cm, hardcover, xviii, 204 pages, Text in English, covers partly (sun) faded, paper browned, although in very good condition, see picture. Graduate Texts in Mathematics, vol. 62. English translation of the second Russian edition (Moscow, 1977). ISBN's 0387903968 & 3540903968. 500g.

Seller Inventory # 81314

Bibliographic Details

• Title: Fundamentals of the Theory of Groups.
• Publisher: Springer-Verlag, New York, Heidelberg, Berlin
• Publication Date: 1979
• Language: English
• ISBN 10: 0387903968
• ISBN 13: 9780387903965
• Binding: Hardcover
• Weight: 500 grams
• Seller catalogs:
  • Wiskunde

About this title

Synopsis

The present edition differs from the first in several places. In particular our treatment of polycyclic and locally polycyclic groups-the most natural generalizations of the classical concept of a finite soluble group-has been expanded. We thank Ju. M. Gorcakov, V. A. Curkin and V. P. Sunkov for many useful remarks. The Authors Novosibirsk, Akademgorodok, January 14, 1976. v Preface to the First Edition This book consists of notes from lectures given by the authors at Novosi­ birsk University from 1968 to 1970. Our intention was to set forth just the fundamentals of group theory, avoiding excessive detail and skirting the quagmire of generalizations (however a few generalizations are nonetheless considered-see the last sections of Chapters 6 and 7). We hope that the student desiring to work in the theory of groups, having become acquainted with its fundamentals from these notes, will quickly be able to proceed to the specialist literature on his chosen topic. We have striven not to cross the boundary between abstract and scholastic group theory, elucidating difficult concepts by means of simple examples wherever possible. Four types of examples accompany the theory: numbers under addition, numbers under multiplication, permutations, and matrices.

Language Notes

Text: English, Russian (translation)