M. J. Felipe

activity

20242026

collaborators

5 papers

math.GR2026

Linking conjugacy classes and minimal invariant characters of normal subgroups

MarÃa JosÃ© Felipe, Iris Gilabert, Lucia Sanus

Let $G$ be a finite group and $N$ a normal subgroup of $G$ . We report on recent results concerning minimal $G$ -invariant characters of $N$ (which are the sums of the characters on…

math.GR2026

On degrees of minimal invariant characters

MarÃa JosÃ© Felipe, Iris Gilabert, Lucia Sanus

It is well known that finite groups with exactly two character degrees have an abelian derived subgroup and, consequently, are solvable. Let $G$ be a finite group and $N$ a normal…

math.GR2025

Groups with triangle-free graphs on p-regular classes

MarÃa JosÃ© Felipe, Marc Kelly Jean-Philippe, VÃctor Sotomayor

Let $p$ be a prime. In this paper we classify the $p$ -structure of those finite $p$ -separable groups such that, given any three non-central conjugacy classes of $p$ -regular element…

math.GR2024

Groups whose common divisor graph on $p$ -regular classes has diameter three

M. J. Felipe, M. K. Jean-Philippe, V. Sotomayor

Let $G$ be a finite $p$ -separable group, for some fixed prime $p$ . Let $I^_{p} (G)$ be the common divisor graph built on the set of non-central conjugacy classes of $p$ -regular elemen…

math.GR2024

On $G$ -character tables for normal subgroups

Let $N$ be a normal subgroup of a finite group $G$ . From a result due to Brauer, it can be derived that the character table of $G$ contains square submatrices which are induced by…