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FINITE GROUPS
A Second Course on Group Theory
by B A F Wehrfritz (University of London)
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.
Contents:
- Introduction and Assumed Knowledge
- Series, Soluble Groups
and Nilpotent Groups
- Immediate Consequences of Sylow's Theorems
- The Schur–Zassenhaus Theorem
- Finite Soluble Groups (Up to 1960)
- Fusion
- Composite Groups
- The Later Theory of Finite Soluble Groups
Readership: Mathematics students in their fourth or later year at
university.
"He gives a very elegant proof of the Shur-Zassenhaus theorem and makes fusion theory easier to understand. This book is good for senior undergraduate students or first year graduate students to acquire the basic skills of abstract finite soluble groups."
| Mathematical Reviews, 2001 |
| 136pp |
Pub. date: Nov 1999 |
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