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arXiv · 1902.08494

Fake Galois Actions

Niamh Farrell·Lucas Ruhstorfer
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Abstract

We prove that for all non-abelian finite simple groups $S$, there exists a fake mth Galois action on IBr$(X)$ with respect to $X \lhd X \rtimes $ Aut$(X)$, where $X$ is the universal covering group of $S$ and $m$ is any non-negative integer coprime to the order of $X$. This is one of the two inductive conditions needed to prove an $\ell$-modular analogue of the Glauberman-Isaacs correspondence.

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Niamh Farrell, Lucas Ruhstorfer. 2019-02-22. Fake Galois Actions. https://arxiv.org/abs/1902.08494

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