Finite groups with odd Sylow normalizers

Description

We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups at these primes.

Links & Downloads

1. Finite groups with odd Sylow normalizers 2016, 144 (12):5129 Proceedings of the American Mathematical Society
2. 0002-9939
3. 1088-6826
4. 10.1090/proc/13223
5. http://hdl.handle.net/10150/621529
6. http://arizona.openrepository.com/arizona/handle/10150/621529
7. Proceedings of the American Mathematical Society

Tags

McKay conjecture

Alperin's weight conjecture

Sylow normalizers

Additional Fields

Identifer	oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/621529
Date	10 June 2016
Creators	Guralnick, Robert M., Navarro, Gabriel, Tiep, Pham Huu
Contributors	Univ Arizona, Dept Math
Publisher	AMER MATHEMATICAL SOC
Source Sets	University of Arizona
Language	English
Detected Language	English
Type	Article
Rights	© Copyright 2016 American Mathematical Society
Relation	http://www.ams.org/proc/2016-144-12/S0002-9939-2016-13223-1/