An Introduction to the Theory of Groups

Joseph J. Rotman (auth.)9780387942858, 0-387-94285-8, 3540942858

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

Table of contents :
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