12 citations · 17 across the 6 of their papers we have counts for
5 papers · 1 filter
On the commuting probability of p-elements in a finite group
Timothy C. Burness, Robert M. Guralnick, Alexander Moretó +1
Let be a finite group, let be a prime and let be the probability that two random -elements of commute. In this paper we prove that ${\rm Pr}_p(G) > (…
A dual version of Huppert's rho-sigma conjecture for character codegrees
Alexander Moretó
We classify the finite groups with the property that any two different character codegrees are coprime. In general, we conjecture that if is a positive integer such that for an…
Groups with a small average number of zeros in the character table
Alexander Moretó
We classify finite groups with a small average number of zeros in the character table.
Kernels of p'-degree irreducible characters
Alexander Moretó, Noelia Rizo
We prove a p'-version of a classical theorem of Broline and Garrison. As a consequence, we obtain results on p-parts of character codegrees.
On the minimal dimension of a faithful linear representation of a finite group
Alexander Moretó
The representation dimension of a finite group is the minimal dimension of a faithful complex linear representation of . We prove that the representation dimension of any fi…