Anyone who has studied abstract and linear algebra as an undergraduate will have the background to understand this book. The first six chapters provide ample material for a first course, beginning with the basic properties of groups and homomorphisms. The next section of text uses the Jordan-Holder Theorem to organize a discussion of extensions and simple groups. The book closes with three chapters on infinite Abelian groups, free groups and a complete proof of the unsolvability of the word problem for finitely presented 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

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An Introduction to the Theory of Groups

Joseph J. Rotman

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