arXiv subjects

A. Moretó

Publications and source records attributed to A. Moretó.

2 recordsLinked to original sources

arXiv2022

On the number of constituents of products of characters

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 $p\geq5$, is bigger than $(p+1)/2$, then it is at least $p$. We give a counterexample to this conjecture.

math.GR↗

arXiv2020

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

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 $N\trianglelefteq G$, even when $G$ is a prime-power order group and $N$ is abelian. This gives a negative answer to a question of A.~Jaikin-Zapirain.

math.GR↗