A. Fry

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20232026

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math.GR2026

Galois action on the principal block and generation of Sylow 3-subgroups

Eden Ketchum, J. Miquel Martínez, Noelia Rizo +1

In this paper, we prove one direction of a conjecture of Navarro-Rizo-Schaeffer Fry-Vallejo positing an algorithm to determine from the character table whether a finite group has $…

math.GR2025

Sylow subgroups and the number of irreducible characters of degrees divisible by a prime $p$

James P. Cossey, Mark L. Lewis, A. A. Schaeffer Fry +1

Let $G$ be a finite group and $p$ a prime. We establish an upper bound for the derived length of a Sylow $p$ -subgroup of $G$ in terms of the number of irreducible characters of $G$ …

math.GR2024

The $p$ -rationality of height-zero characters

Nguyen N. Hung, A. A. Schaeffer Fry

We propose and present evidence for a conjectural global-local phenomenon concerning the $p$ -rationality of $p$ -height-zero characters. Specifically, if $χ$ is a height-zero charac…

math.GR2023

Brauer's problem 21 for principal blocks

Alexander Moretó, Noelia Rizo, A. A. Schaeffer Fry

Problem 21 of Brauer's list of problems from 1963 asks whether for any positive integer k there are finitely many isomorphism classes of groups that occur as the defect group of a…

Galois action on the principal block and generation of Sylow 3-subgroups

Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p

The p-rationality of height-zero characters

Brauer's problem 21 for principal blocks

Sylow subgroups and the number of irreducible characters of degrees divisible by a prime $p$

The $p$ -rationality of height-zero characters