Juan Martínez

activity

20182025

π

-elements and nilpotent/abelian Hall

π

-subgroups

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

collaborators

Showing math.GRShow all

3 papers · 1 filter

math.GR2023

Supersolvability and nilpotency in terms of the commuting probability and the average character degree

Juan Martínez

Let $p$ be a prime and let $G$ be a finite group such that the smallest prime that divides $∣ G ∣$ is $p$ . We find sharp bounds, depending on $p$ , for the commuting probability and t…

math.GR2022★ 3 cited

Conjugacy classes of $π$ -elements and nilpotent/abelian Hall $π$ -subgroups

N. N. Hung, A. Maróti, J. Martínez

Let $G$ be a finite group and $π$ be a set of primes. We study finite groups with a large number of conjugacy classes of $π$ -elements. In particular, we obtain precise lower bounds…

math.GR2022

Groups with small multiplicities of fields of values of irreducible characters

Juan Martínez

In this work, we classify all finite groups such that for every field extension F of \mathbb{Q}, F is the field of values of at most 3 irreducible characters.

Supersolvability and nilpotency in terms of the commuting probability and the average character degree

Conjugacy classes of π-elements and nilpotent/abelian Hall π-subgroups

Groups with small multiplicities of fields of values of irreducible characters

Conjugacy classes of $π$ -elements and nilpotent/abelian Hall $π$ -subgroups