M. J. Felipe

activity

20172020

collaborators

4 papers

math.GR2020

On products of groups and indices not divisible by a given prime

María-José Felipe, Lev S. Kazarin, Ana Martínez-Pastor +1

Let the group $G = A B$ be the product of subgroups $A$ and $B$ , and let $p$ be a prime. We prove that $p$ does not divide the conjugacy class size (index) of each $p$ -regular eleme…

math.GR2019

On zeros of irreducible characters lying in a normal subgroup

M. J. Felipe, N. Grittini, V. Sotomayor

Let $N$ be a normal subgroup of a finite group $G$ . In this paper, we consider the elements $g$ of $N$ such that $χ (g) \neq = 0$ for all irreducible characters $χ$ of $G$ . Such an ele…

math.GR2018

Zeros of irreducible characters in factorised groups

M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor

An element $g$ of a finite group $G$ is said to be vanishing in $G$ if there exists an irreducible character $χ$ of $G$ such that $χ (g) = 0$ ; in this case, $g$ is also called a zero…

math.GR2017

Prime power indices in factorised groups

M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor

Let the group $G = A B$ be the product of the subgroups $A$ and $B$ . We determine some structural properties of $G$ when the $p$ -elements in $A \cup B$ have prime power indices in $G…