J. M. Mart'inez

activity

20242026

collaborators

5 papers

math.GR2026

Sum of the squares of the $p^{'}$ -character degrees

Nguyen N. Hung, J. Miquel MartÃnez, Gabriel Navarro

We study the sum of the squares of the irreducible character degrees not divisible by some prime $p$ , and its relationship with the the corresponding quantity in a $p$ -Sylow normal…

math.GR2026

Galois action on the principal block and generation of Sylow 3-subgroups

Eden Ketchum, J. Miquel MartÃnez, Noelia Rizo +1

In this paper, we prove one direction of a conjecture of Navarro-Rizo-Schaeffer Fry-Vallejo positing an algorithm to determine from the character table whether a finite group has $…

math.RT2025

Principal blocks, irreducible restriction, fields and degrees

Richard Lyons, J. Miquel MartÃnez, Gabriel Navarro +1

Several recent problems in the representation theory of finite groups require determining whether certain characters of almost simple groups belong to the principal block. Since th…

math.GR2025

Character degrees and local subgroups revisited

J. Miquel MartÃnez

Let $p$ and $q$ be different primes and let $G$ be a finite $q$ -solvable group. We prove that $Irr_{p^{'}} (G) \subseteq Irr_{q^{'}} (G)$ if and only if $\mathbf{N}_G(P)\s…

math.RT2024

The continuity of $p$ -rationality of characters and the principal block

Gunter Malle, J. Miquel MartÃnez, Carolina Vallejo

We study rationality properties of irreducible characters of finite groups. We show that the continuity of $2$ -rationality is a phenomenon that can be detected in the principal $2$ …