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An Introduction to the Theory of Groups

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Fourth Edition

J.J. Rotman

An Introduction to the Theory of Groups

"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route."—MATHEMATICAL REVIEWS

Author(s): Joseph J. Rotman (auth.)
Series: Graduate Texts in Mathematics 148
Edition: 4
Publisher: Springer-Verlag New York
Year: 1995

Language: English
Pages: 517
City: New York
Tags: Group Theory and Generalizations

Front Matter....Pages i-xv
Groups and Homomorphisms....Pages 1-19
The Isomorphism Theorems....Pages 20-42
Symmetric Groups and G -Sets....Pages 43-72
The Sylow Theorems....Pages 73-88
Normal Series....Pages 89-124
Finite Direct Products....Pages 125-153
Extensions and Cohomology....Pages 154-216
Some Simple Linear Groups....Pages 217-246
Permutations and the Mathieu Groups....Pages 247-306
Abelian Groups....Pages 307-342
Free Groups and Free Products....Pages 343-417
The Word Problem....Pages 418-470
Epilogue....Pages 471-474
Back Matter....Pages 475-517