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

Jon González-Sánchez; Albert Ruiz; Antonio Viruel

doi:10.1215/21562261-3089100

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Home > Journals > Kyoto J. Math. > Volume 55 > Issue 3 > Article

September 2015 On Thompson’s

p

-complement theorems for saturated fusion systems

Jon González-Sánchez, Albert Ruiz, Antonio Viruel

Kyoto J. Math. 55(3): 617-626 (September 2015). DOI: 10.1215/21562261-3089100

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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.

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Jon González-Sánchez. Albert Ruiz. Antonio Viruel. "On Thompson’s $p$ -complement theorems for saturated fusion systems." Kyoto J. Math. 55 (3) 617 - 626, September 2015. https://doi.org/10.1215/21562261-3089100