M. Fayers

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20242026

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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

Ribbon blocks for centraliser algebras of symmetric groups

Matthew Fayers, Lorenzo Putignano

Suppose $l, m$ are natural numbers with $l \leq m$ , and $F$ a field of characteristic $p$ , and let $C_{l, m}^{F}$ denote the centraliser of the group algebr…

math.RT2024

Representations of symmetric and alternating groups and their double covers that remain irreducible modulo every prime

Matthew Fayers, Lucia Morotti

We classify globally irreducible representations of alternating groups and double covers of symmetric and alternating groups. In order to achieve this classification we also comple…