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Table of contents (15 chapters)
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Front Matter
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Back Matter
About this book
This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book. In the chapter on group extensions an exposition of Schreier's concrete approach via factor sets is given before the introduction of covering groups. This seems to be desirable on pedagogical grounds. Then S. Thomas's elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N.D. Gupta has been added in the chapter on finiteness properties.
Reviews
Second Edition
D.J.S. Robinson
A Course in the Theory of Groups
"This book is an excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The fifteen 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 . . . This book is highly recommended."—ACTA SCIENTIARUM MATHEMATICARUM
Authors and Affiliations
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Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, USA
Derek J. S. Robinson
Bibliographic Information
Book Title: A Course in the Theory of Groups
Authors: Derek J. S. Robinson
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4419-8594-1
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1996
Hardcover ISBN: 978-0-387-94461-6Published: 26 October 1995
Softcover ISBN: 978-1-4612-6443-9Published: 08 September 2012
eBook ISBN: 978-1-4419-8594-1Published: 06 December 2012
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 2
Number of Pages: XVII, 502
Topics: Group Theory and Generalizations