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math.RT2019
Galois action on the principal block and cyclic Sylow subgroups
Noelia Rizo, A. A. Schaeffer Fry, Carolina Vallejo
We characterize finite groups having a cyclic Sylow p-subgroup in terms of the action of a specific Galois automorphism on the principal p-block for p=2,3. We show that the analog…
math.RT2019
A reduction theorem for the Galois-McKay conjecture
Gabriel Navarro, Britta Späth, Carolina Vallejo
We generalize the theory of ordering character triples, developed by Navarro and Späth, by taking into account the action of Galois automorphisms on characters. This new technique,…
math.RT2019
Characters of -degree
Eugenio Giannelli, Mandi Schaeffer Fry, Carolina Vallejo
Let be a finite group and let be a set of primes. Write for the set of irreducible characters of degree not divisible by any prime in . We show th…