Topics in Finite Groups

These notes derive from a course of lectures delivered at the University of Florida in Gainesville during 1971/2.

Terence M. Gagen (Author)

9780521210027, Cambridge University Press

Paperback, published 1 April 1976

96 pages
22.9 x 15.2 x 0.6 cm, 0.15 kg

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.

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.

Subject Areas: Algebra [PBF]