4 papers · 1 filter
Groups with few -character degrees in the principal block
Eugenio Giannelli, Noelia Rizo, Benjamin Sambale +1
Let p be a prime larger than 3 and let G be a finite group. We prove that G is p-solvable of p-length at most 2 if there are at most two distinct character degrees relatively prime…
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…
Unitary t-groups
Eiichi Bannai, Gabriel Navarro, Noelia Rizo +1
Relying on the main results of [Guralnick-Tiep], we classify all unitary -groups for in any dimension . We also show that there is essentially a unique unit…
p-Blocks Relative to a Character of a Normal Subgroup
Noelia Rizo
Let G be a finite group, let N be a normal subgroup of G, and let theta in Irr(N) be a G-invariant character. We fix a prime p, and we introduce a canonical partition of Irr(G|thet…