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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 -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 -rationality is a phenomenon that can be detected in the principal …