Kyoto Journal of Mathematics

On Thompson’s p-complement theorems for saturated fusion systems

Jon González-Sánchez, Albert Ruiz, and Antonio Viruel

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Abstract

In this short note we prove that a saturated fusion system admitting some special type of automorphism is nilpotent. This generalizes classical results by J. G. Thompson.

Article information

Source
Kyoto J. Math., Volume 55, Number 3 (2015), 617-626.

Dates
Received: 29 January 2014
Revised: 8 July 2014
Accepted: 8 July 2014
First available in Project Euclid: 9 September 2015

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1441824040

Digital Object Identifier
doi:10.1215/21562261-3089100

Mathematical Reviews number (MathSciNet)
MR3395982

Zentralblatt MATH identifier
1332.20015

Subjects
Primary: 20D20: Sylow subgroups, Sylow properties, $\pi$-groups, $\pi$-structure 55R35: Classifying spaces of groups and $H$-spaces

Keywords
John G. Thompson Frobenius kernel $p$-nilpotency criterion

Citation

González-Sánchez, Jon; Ruiz, Albert; Viruel, Antonio. On Thompson’s $p$ -complement theorems for saturated fusion systems. Kyoto J. Math. 55 (2015), no. 3, 617--626. doi:10.1215/21562261-3089100. https://projecteuclid.org/euclid.kjm/1441824040


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References

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