12 citations · 17 across the 6 of their papers we have counts for
9 papers
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…
Finite groups whose maximal subgroups of order divisible by all the primes are supersolvable
Alexander Moretó
We study finite groups with the property that for any subgroup maximal in whose order is divisible by all the prime divisors of , is supersolvable. We show tha…
Conjugacy classes, characters and products of elements
Robert M. Guralnick, Alexander Moretó
Recently, Baumslag and Wiegold proved that a finite group is nilpotent if and only if for every of coprime order. Motivated by this result, we study…
On the average character degree of finite groups
Alexander Moretó, Hung Ngoc Nguyen
We prove that if the average of the degrees of the irreducible characters of a finite group is less than 16/5, then is solvable. This solves a conjecture of I.M. Isaacs, M.…
Homogeneous products of characters
Edith Adan-Bante, Maria Loukaki, Alexander Moretó
I. M. Isaacs has conjectured (see \cite{isa00}) that if the product of two faithful irreducible characters of a solvable group is irreducible, then the group is cyclic. In this pap…