Real groups and Sylow 2-subgroups

Gabriel Navarro; Pham Huu Tiep

doi:10.1016/j.aim.2016.05.013

Real groups and Sylow 2-subgroups

Gabriel Navarro, Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article

2 Scopus citations

Abstract

If G is a finite real group and P∈Syl₂(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.

Original language	English (US)
Pages (from-to)	331-360
Number of pages	30
Journal	Advances in Mathematics
Volume	299
DOIs	https://doi.org/10.1016/j.aim.2016.05.013
Publication status	Published - Aug 20 2016

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Keywords

Real characters
Real groups
Sylow 2-subgroups

ASJC Scopus subject areas

Mathematics(all)

Cite this

Navarro, G., & Tiep, P. H. (2016). Real groups and Sylow 2-subgroups. Advances in Mathematics, 299, 331-360. https://doi.org/10.1016/j.aim.2016.05.013

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abstract = "If G is a finite real group and P∈Syl2(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.",

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Access to Document

10.1016/j.aim.2016.05.013