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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.GR2025
Sum of the squares of the -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 , and its relationship with the the corresponding quantity in a -Sylow normal…