publication . Preprint . 2019

Fake Galois Actions

Farrell, Niamh; Ruhstorfer, Lucas;
Open Access English
  • Published: 22 Feb 2019
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.
arXiv: Mathematics::Group Theory
free text keywords: Mathematics - Representation Theory, 20C20, 20C33
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Funded by
NSF| Mathematical Sciences Research Institute (MSRI)
  • Funder: National Science Foundation (NSF)
  • Project Code: 1440140
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