J. M. Mart'inez

activity

20232026

p

-rational characters in principal blocks

1 citations · 2 across the 8 of their papers we have counts for

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math.GR2026

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

Eden Ketchum, J. Miquel Martínez, 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.GR2025

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

Nguyen N. Hung, J. Miquel Martínez, 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.GR2024

Character degrees and local subgroups revisited

J. Miquel Martínez

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.GR2023

The blocks with five irreducible characters

J. Miquel Martínez, Noelia Rizo, Lucia Sanus

Let $G$ be a finite group, $p$ a prime and $B$ a Brauer $p$ -block of $G$ with defect group $D$ . We prove that if the number of irreducible ordinary characters in $B$ is $5$ then $D…

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

Sum of the squares of the p′-character degrees

Character degrees and local subgroups revisited

The blocks with five irreducible characters

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