"The Theory of Finite Groups: An Introduction" by Hans Kurzweil, Bernd Stellmacher

This book gives a deep insight into the modern theory of finite groups. The text serves as a springboard for deeper study in many directions. The reader develops the maturity required for approaching the literature with confidence.

This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions.
The first eight chapters have an abundance of exercises, not prorated, and some of the more challenging are addressed later in the text.
Due to the nature of the material, fewer exercises appear in the remaining chapters.

Contents
Preface
Preface
Contents
List of Symbols
1 Basic Concepts
2 Abelian Groups
3 Action and Conjugation
4 Permutation Groups
5 p-Groups and Nilpotent Groups
6 Normal and Subnormal Structure
7 Thansfer and p-Factor Groups
8 Groups Acting on Groups
9 Quadratic Action
10 The Embedding of p-Local Subgroups
11 Signalizer Functors
12 N-Groups
Appendix
Bibliography
Index