J. M. Mart'inez

collaborators

3 papers

math.RT2025

Principal blocks, irreducible restriction, fields and degrees

Richard Lyons, J. Miquel Martínez, 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.RT2024

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

Gunter Malle, J. Miquel Martínez, 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 $2$ …

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…

Principal blocks, irreducible restriction, fields and degrees

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

Character degrees and local subgroups revisited

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