It is an open problem to show that under a coprime action, the number of invariant Brauer characters of a finite group is the number of the Brauer characters of the fixed point subgroup. We prove that this is true if the non-abelian simple groups satisfy a stronger condition.
Brauer characters and coprime action / Spath B.; Vallejo Rodriguez C.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 457:(2016), pp. 276-311. [10.1016/j.jalgebra.2016.01.042]
Brauer characters and coprime action
Vallejo Rodriguez C.
2016
Abstract
It is an open problem to show that under a coprime action, the number of invariant Brauer characters of a finite group is the number of the Brauer characters of the fixed point subgroup. We prove that this is true if the non-abelian simple groups satisfy a stronger condition.
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