Real groups and Sylow 2-subgroups

Description

If G is a finite real group and P is an element of Syl(2)(G), then P/P' is elementary abelian. This confirms a conjecture of Roderick Gow. In fact, we prove a much stronger result that implies Gow's conjecture. (C) 2016 Elsevier Inc. All rights reserved.

Links & Downloads

1. Navarro, G., & Tiep, P. H. (2016). Real groups and Sylow 2-subgroups. Advances in Mathematics, 299, 331-360. DOI: 10.1016/j.aim.2016.05.013
2. 0001-8708
3. 10.1016/j.aim.2016.05.013
4. http://hdl.handle.net/10150/621302
5. http://arizona.openrepository.com/arizona/handle/10150/621302
6. ADVANCES IN MATHEMATICS

Tags

Real groups

Real characters

Sylow 2-subgroups

Additional Fields

Identifer	oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/621302
Date	20 June 2016
Creators	Tiep, Pham Huu, Navarro, Gabriel
Contributors	Univ Arizona, Dept Math
Publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE
Source Sets	University of Arizona
Language	English
Detected Language	English
Type	Article
Rights	© 2016 Elsevier B.V.
Relation	https://arizona.pure.elsevier.com/en/publications/real-groups-and-sylow-2-subgroups