J. M. Martínez

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20212026

most citedDegree divisibility in Alperin-McKay correspondences

2 citations · 2 across the 4 of their papers we have counts for

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math.RT2026

Cyclotomic character fields and sets of primes

Eugenio Giannelli, J. Miquel Martínez, Carolina Vallejo

Let $π = {2, q}$ where $q$ is an odd prime. Let $G$ be a finite group of order divisible by a prime $p \in π$ . We show that the principal $p$ -block of $G$ contains a nontrivial i…

math.RT2025

Alperin's bound and normal Sylow subgroups

Zhicheng Feng, J. Miquel Martínez, Damiano Rossi

Let $G$ be a finite group, $p$ a prime number and $P$ a Sylow $p$ -subgroup of $G$ . Recently, G. Malle, G. Navarro, and P. H. Tiep conjectured that the number of $p$ -Brauer characte…

math.RT2022★ 2 cited

Degree divisibility in Alperin-McKay correspondences

J. Miquel Martìnez, Damiano Rossi

Let p be a prime, B a p-block of a finite group G and b its Brauer correspondent. According to the Alperin-McKay Conjecture, there exists a bijection between the set of irreducible…