Terence M. Gagen

Topics in Finite Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 1. April 1976
• Englisch
• ISBN-13: 9780511891830
• Artikelnr.: 38206851

Inhaltsangabe

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.