A Course in the Theory of Groups / Edition 2

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More About This Textbook

Overview

"An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." —-ACTA SCIENTIARUM MATHEMATICARUM

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Product Details

  • ISBN-13: 9780387944616
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 10/26/1995
  • Series: Graduate Texts in Mathematics Series , #80
  • Edition description: 2nd ed. 1996
  • Edition number: 2
  • Pages: 542
  • Product dimensions: 1.19 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Preface to the Second Edition
Preface to the First Edition
Notation
Ch. 1 Fundamental Concepts of Group Theory 1
Ch. 2 Free Groups and Presentations 44
Ch. 3 Decompositions of a Group 63
Ch. 4 Abelian Groups 93
Ch. 5 Soluble and Nilpotent Groups 121
Ch. 6 Free Groups and Free Products 159
Ch. 7 Finite Permutation Groups 192
Ch. 8 Representations of Groups 213
Ch. 9 Finite Soluble Groups 252
Ch. 10 The Transfer and Its Applications 285
Ch. 11 The Theory of Group Extensions 310
Ch. 12 Generalizations of Nilpotent and Soluble Groups 356
Ch. 13 Subnormal Subgroups 385
Ch. 14 Finiteness Properties 416
Ch. 15 Infinite Soluble Groups 450
Bibliography 479
Index 491
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Customer Reviews

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Sort by: Showing all of 3 Customer Reviews

  • Anonymous

    Posted November 22, 2001

    very good, but not the best

    The author's selection of material is extremely good. Many details in proofs are omitted, so, this book is very demanding on the reader. A graduate level course in algebra is a must before reading this book. Exercises are good, many of them quite tricky and challanging. Overall, a very good reference book for those interested in research in group theory.

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  • Anonymous

    Posted April 11, 2001

    nice book

    interesting group theory book which has a nice section on permutation groups.

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  • Anonymous

    Posted November 19, 2008

    No text was provided for this review.

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