UID:
almafu_9959234616002883
Format:
1 online resource (viii, 85 pages) :
,
digital, PDF file(s).
ISBN:
1-139-88368-2
,
1-107-36574-0
,
1-107-37047-7
,
1-107-36083-8
,
1-107-36933-9
,
1-299-40355-7
,
1-107-36328-4
,
0-511-62926-5
Series Statement:
London Mathematical Society lecture note series ; 16
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 29 Feb 2016).
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Cover; Title; Copyright; Contents; Introduction; Notations; Elementary results; 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 | π(F(H)) | = 1; 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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Appendix: p-constraint and p-stabilityReferences
,
English
Additional Edition:
ISBN 0-521-21002-X
Language:
English
Subjects:
Mathematics
URL:
https://doi.org/10.1017/CBO9780511629266
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