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 › peer-review

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
State	Published - Aug 20 2016

Keywords

Real characters
Real groups
Sylow 2-subgroups

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.aim.2016.05.013

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title = "Real groups and Sylow 2-subgroups",

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.",

keywords = "Real characters, Real groups, Sylow 2-subgroups",

author = "Gabriel Navarro and Tiep, {Pham Huu}",

year = "2016",

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day = "20",

doi = "10.1016/j.aim.2016.05.013",

language = "English (US)",

volume = "299",

pages = "331--360",

journal = "Advances in Mathematics",

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AU - Navarro, Gabriel

AU - Tiep, Pham Huu

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AB - 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.

KW - Real characters

KW - Real groups

KW - Sylow 2-subgroups

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EP - 360

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

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