A. Moret'o

activity

20182021

collaborators

5 papers

math.GR2021

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 $k$ is a positive integer such that for an…

math.GR2021

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.

math.GR2021

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.

math.GR2020

Finite groups whose maximal subgroups of order divisible by all the primes are supersolvable

Alexander Moretó

We study finite groups $G$ with the property that for any subgroup $M$ maximal in $G$ whose order is divisible by all the prime divisors of $∣ G ∣$ , $M$ is supersolvable. We show tha…

math.GR2018

Conjugacy classes, characters and products of elements

Robert M. Guralnick, Alexander Moretó

Recently, Baumslag and Wiegold proved that a finite group $G$ is nilpotent if and only if $o (x y) = o (x) o (y)$ for every $x, y \in G$ of coprime order. Motivated by this result, we study…