These notes derive from a course of lectures delivered at the University of Florida in Gainesville during 1971/2. Dr Gagen presents a simplified treatment of recent work by H. Bender on the classification of non-soluble groups with abelian Sylow 2-subgroups, together with some background material of wide interest. The book is for research students and specialists in group theory and allied subjects such as finite geometries.
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- Date Published: April 1976
- format: Paperback
- isbn: 9780521210027
- length: 96 pages
- dimensions: 229 x 152 x 6 mm
- weight: 0.15kg
- availability: Available
Table of Contents
1. Baer's Theorem
2. A theorem of Blackburn
3. A theorem of Bender
4. The Transitivity Theorem
5. The Uniqueness Theorem
6. The case
7. The proof of the Uniqueness Theorem 5.1
8. The Burnside paqb- Theorem, p, q odd
9. Matsuyama's proof of the paqb -Theorem, p = 2
10. A generalization of the Fitting subgroup
11. Groups with abelian Sylow 2-subgroups
12. Preliminary lemmas
13. Properties of A*-groups
14. Proof of the Theorem A, Part I
15. Proof of the Theorem A, Part II.
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