4 papers
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…
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…
Brauer's problem 21 for principal blocks
Alexander Moretó, Noelia Rizo, A. A. Schaeffer Fry
Problem 21 of Brauer's list of problems from 1963 asks whether for any positive integer k there are finitely many isomorphism classes of groups that occur as the defect group of a…
The blocks with five irreducible characters
J. Miquel Martínez, Noelia Rizo, Lucia Sanus
Let be a finite group, a prime and a Brauer -block of with defect group . We prove that if the number of irreducible ordinary characters in is then $D…