University of Birmingham > Talks@bham > Algebra Seminar > Coprime action and Brauer characters

Coprime action and Brauer characters

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If you have a question about this talk, please contact David Craven.

Let A and G be finite groups such that the orders of A and G are coprime numbers. If A acts on G, then it is well-known that there is a one-to-one correspondence between the irreducible A-invariant characters of G and the irreducible characters of the subgroup CG(A) of fixed points under the action. In the modular case, it is an open conjecture that the number of irreducible A-invariant Brauer characters of G equals the number of irreducible Brauer characters of CG(A). We present a reduction of this conjecture to a question on finite simple groups.

This talk is part of the Algebra Seminar series.

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