21 citations · 136 across the 32 of their papers we have counts for
35 papers
Spin characters of symmetric and alternating groups which are proportional in characteristic 3
Matthew Fayers, Eoghan McDowell
Let be a finite group and a prime. It is interesting to determine when two ordinary irreducible representations of have the same -modular reduction; this is the same…
Monoids generated by projections
Matthew Fayers
We define and explore semireflection monoids on a finite-dimensional vector space. These are monoids generated by semireflections: linear maps fixing a subspace of codimension 1. W…
Ribbon blocks for centraliser algebras of symmetric groups
Matthew Fayers, Lorenzo Putignano
Suppose are natural numbers with , and a field of characteristic , and let denote the centraliser of the group algebr…
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 -modular reduction; that is, when two rows of the decomposition ma…
Decomposition numbers for weight 3 blocks of Iwahori--Hecke algebras of type B
Matthew Fayers, Lorenzo Putignano
Let B be a weight- block of an Iwahori--Hecke algebra of type B over any field. We develop the combinatorics of B to prove that the decomposition numbers for B are all 0 or 1.
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…