Real groups and Sylow 2-subgroups

Gabriel Navarro; Pham Huu Tiep

doi:https://doi.org/10.1016/j.aim.2016.05.013

Real groups and Sylow 2-subgroups

Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journal › Article › peer-review

4 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	American English
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
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Keywords

Real characters
Real groups
Sylow 2-subgroups

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https://doi.org/10.1016/j.aim.2016.05.013

Cite this

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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}",

note = "Funding Information: The research of the first author is supported by the Prometeo/Generalitat Valenciana , Proyectos MTM2013-40464-P . The second author gratefully acknowledges the support of the NSF (grant DMS-1201374 ) and the Simons Foundation Fellowship 305247 . Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = aug,

day = "20",

doi = "https://doi.org/10.1016/j.aim.2016.05.013",

language = "American English",

volume = "299",

pages = "331--360",

journal = "Advances in Mathematics",

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T1 - Real groups and Sylow 2-subgroups

AU - Navarro, Gabriel

AU - Tiep, Pham Huu

N1 - Funding Information: The research of the first author is supported by the Prometeo/Generalitat Valenciana , Proyectos MTM2013-40464-P . The second author gratefully acknowledges the support of the NSF (grant DMS-1201374 ) and the Simons Foundation Fellowship 305247 . Publisher Copyright: © 2016 Elsevier Inc.

PY - 2016/8/20

Y1 - 2016/8/20

N2 - 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.

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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U2 - https://doi.org/10.1016/j.aim.2016.05.013

DO - https://doi.org/10.1016/j.aim.2016.05.013

M3 - Article

SN - 0001-8708

VL - 299

SP - 331

EP - 360

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Real groups and Sylow 2-subgroups

Abstract

ASJC Scopus subject areas

Keywords

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