Coprime action and Brauer characters

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• Carolina Vallejo Rodríguez, University of Valencia
• Wednesday 04 May 2016, 16:00-17:00
• Watson Building, Lecture Room A.

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 C_G(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 C_G(A). We present a reduction of this conjecture to a question on finite simple groups.

This talk is part of the Algebra seminar series.

This talk is included in these lists:

• Algebra seminar
• School of Mathematics events
• Watson Building, Lecture Room A

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