Eoghan McDowell

collaborators

4 papers

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

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

Matthew Fayers, Eoghan McDowell

For a finite group, it is interesting to determine when two ordinary irreducible representations have the same $p$ -modular reduction; that is, when two rows of the decomposition ma…

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…