Ebook: An Introduction to the Theory of Groups

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

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Content:
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

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Content:
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
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