Finite Groups: An Introduction (vol. 10 of the Surveys of Modern Mathematics book series)

Finite group theory is a topic remarkable for the simplicity of its statements and the difficulty of their proofs. It is used in an essential way in several branches of mathematics -- for instance, in number theory.

This book is a short introduction to the subject, written both for beginners and for mathematicians at large. There are ten chapters: Preliminaries, Sylow theory, Solvable groups and nilpotent groups, Group extensions, Hall subgroups, Frobenius groups, Transfer, Characters, Finite subgroups of GLn, and Small groups.

Each chapter is followed by a series of exercises.

[This edition (Surveys of Modern Mathematics, vol. 10) is the preliminary, paperback edition of Finite Groups: An Introduction.]