6 papers
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…
Brauer correspondent blocks with one simple module
Gabriel Navarro, Pam Huu Tiep, Carolina Vallejo
One of the main problems in representation theory is to understand the exact relationship between Brauer corresponding blocks of finite groups. The case where the local corresponde…
Even degree characters in principal blocks
Eugenio Giannelli, Gunter Malle, Carolina Vallejo
We characterise finite groups such that for an odd prime all the irreducible characters in its principal -block have odd degree. We show that this situation does not occur i…