Eoghan McDowell

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math.RT2026

Spin characters of the alternating group which are proportional to linear characters in characteristic 2

Eoghan McDowell

We classify when a spin and a non-spin irreducible character of the alternating group have proportional 2-modular reductions. Equivalently, we classify when such a pair of characte…

math.RT2026

Spin characters of symmetric and alternating groups which are proportional in characteristic 3

Matthew Fayers, Eoghan McDowell

Let $G$ be a finite group and $p$ a prime. It is interesting to determine when two ordinary irreducible representations of $G$ have the same $p$ -modular reduction; this is the same…

math.RT2025

Degrees and prime power order zeros of characters of symmetric and alternating groups

Eugenio Giannelli, Stacey Law, Eoghan McDowell

We show that the $p$ -part of the degree of an irreducible character of a symmetric group is completely determined by the set of vanishing elements of $p$ -power order. As a corollar…