Coprime actions and Brauer characters

Carolina Vallejo (Valencia)

Frank Adams 1,

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 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.

Import this event to your Outlook calendar
▲ Up to the top