Asier Arranz

collaborators

3 papers

math.RT2026

On The Eaton-Moretó Conjecture for Principal Blocks of Finite Groups

Asier Arranz, Javier Gómez-Serrano, Gabriel Navarro +1

Let $G$ be a finite group and let $p$ be a prime. If $P$ is a nonabelian Sylow $p$ -subgroup of $G$ and $m (P)$ is the smallest non-linear irreducible character degree of $P$ , we pro…

math.GR2026

Above Isaacs' Head Characters

Asier Arranz

The proof of the inductive McKay condition has been shown to imply that the character theory above the characters of degree not divisible by $p$ of a normal subgroup is locally det…

math.GR2025

Minimal-order groups with an irreducible character of degree $p$ or $p^{2}$

Asier Arranz

We characterize the finite groups of minimal order that admit an irreducible complex character of degree $p$ or $p^{2}$ , where $p$ is a prime.

On The Eaton-Moretó Conjecture for Principal Blocks of Finite Groups

Above Isaacs' Head Characters

Minimal-order groups with an irreducible character of degree p or p2

Minimal-order groups with an irreducible character of degree $p$ or $p^{2}$