A. Martínez-Pastor

activity

20092018

most citedPrime power indices in factorised groups

6 citations · 11 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2018★ 5 cited

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★ 6 cited

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…

math.GR2009

On the Sylow graph of a group and Sylow normalizers

L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos

Let $G$ be a finite group and $G_{p}$ be a Sylow $p$ -subgroup of $G$ for a prime $p$ in $π (G)$ , the set of all prime divisors of the order of $G$ . The automiser $A_{p} (G)$ is defined t…