Finite groups: A second course on group theory

B. A. F. Wehrfritz9810238746, 9789810238742

The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics, its proofs often having great elegance and beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics.
The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.

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Table of contents :
Contents……Page 7
Preface……Page 3
0. Introduction and Assumed Knowledge……Page 9
1. Series, Soluble Groups and Nilpotent Groups……Page 15
2. Immediate Consequences of Sylow’s Theorems……Page 33
3. The Schur-Zassenhaus Theorem……Page 45
4. Finite Soluble Groups (up to 1960)……Page 59
5. Fusion……Page 73
6. Composite Groups……Page 89
7. The Later Theory of Finite Soluble Groups……Page 97
Appendix – Some Proofs for Chapter 0……Page 115
Notation……Page 121
Bibliography……Page 125
Index……Page 127