J. M. Mart'inez

activity

20212026

most citedThe Alperin Weight Conjecture and the Glauberman correspondence via character triples

1 citations · 2 across the 9 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

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…

math.RT2024★ 1 cited

On almost $p$ -rational characters in principal blocks

Attila Maróti, J. Miquel Martínez, A. A. Schaeffer Fry +1

Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order d…

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

Character degrees and local subgroups revisited

On almost p-rational characters in principal blocks

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

On almost $p$ -rational characters in principal blocks