3 papers
math.GR2026
Galois action on the principal block and generation of Sylow 3-subgroups
Eden Ketchum, J. Miquel Martínez, Noelia Rizo +1
In this paper, we prove one direction of a conjecture of Navarro-Rizo-Schaeffer Fry-Vallejo positing an algorithm to determine from the character table whether a finite group has $…
math.GR2024
Fixed point ratios, Sylow numbers and coverings of -elements in finite groups
Robert M. Guralnick, Attila Maróti, Juan Martínez Madrid +2
Fixed point ratios for primitive permutation groups have been extensively studied. Relying on a recent work of Burness and Guralnick, we obtain further results in the area. For a p…
math.RT2024
A Brauer--Galois height zero conjecture
Gunter Malle, Alexander Moretó, Noelia Rizo +1
Recently, Malle and Navarro obtained a Galois strengthening of Brauer's height zero conjecture for principal -blocks when , considering a particular Galois automorphism of…