Topics in Finite Groups available in Paperback
- Pub. Date:
- Cambridge University Press
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.
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.