A. Moretó

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20132022

most citedThe average element order and the number of conjugacy classes of finite groups

1 citations · 1 across the 2 of their papers we have counts for

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math.GR2022

On the number of constituents of products of characters

M. Loukaki, A. Moretó

It has been conjectured that if the number of distinct irreducible constituents of the product of two faithful irreducible characters of a finite $p$ -group, for $p \geq 5$ , is bigger…

math.GR2020★ 1 cited

The average element order and the number of conjugacy classes of finite groups

E. I. Khukhro, A. Moretó, M. Zarrin

Let $o (G)$ be the average order of the elements of $G$ , where $G$ is a finite group. We show that there is no polynomial lower bound for $o (G)$ in terms of $o (N)$ , where $N\triangl…

math.GR2013

Nilpotent and Abelian Hall Subgroups in Finite Groups

Antonio Beltrán, María José Felipe, Gunter Malle +4

We give a characterization of the finite groups having nilpotent or abelian Hall $π$ -subgroups which can easily be verified from the character table.

math.GR2013

Variations of Landau's theorem for p-regular and p-singular conjugacy classes

Alexander Moreto, Hung Ngoc Nguyen

The well-known Landau's theorem states that, for any positive integer $k$ , there are finitely many isomorphism classes of finite groups with exactly $k$ (conjugacy) classes. We stu…