8 papers · 1 filter
Cyclotomic character fields and sets of primes
Eugenio Giannelli, J. Miquel Martínez, Carolina Vallejo
Let where is an odd prime. Let be a finite group of order divisible by a prime . We show that the principal -block of contains a nontrivial i…
On almost -rational characters in principal blocks
Attila Maróti, J. Miquel Martínez, A. A. Schaeffer Fry +1
Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order d…
Sylow branching coefficients and a conjecture of Malle and Navarro
Eugenio Giannelli, Stacey Law, Jason Long +1
We prove that a finite group has a normal Sylow -subgroup if, and only if, every irreducible character of appearing in the permutation character with…
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…
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,…
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…