J. Murray

activity

20042024

most citedCarter-Payne homomorphisms and branching rules for endomorphism rings of Specht modules

1 citations · 1 across the 14 of their papers we have counts for

collaborators

18 papers

math.RT2024

The self-dual indecomposable modules in blocks with cyclic defect groups

Caroline Lassueur, John Murray

Let $p$ be an odd prime and let $B$ be a $p$ -block of a finite group, such that $B$ has cyclic defect groups. We describe the self-dual indecomposable $\mathbf{B}…

math.GR2023

Counting real characters after Gallagher

John C. Murray

Let $G$ be a finite group, let $N$ be a normal subgroup of $G$ and let $θ$ be an irreducible character of $N$ . We count the real irreducible characters of $G$ lying over $θ$

math.RT2022

A solution to Brauer's Problem 14

John Murray, Benjamin Sambale

It is well known that the number of real irreducible characters of a finite group G coincides with the number of real conjugacy classes of G. Richard Brauer has asked if the number…

math.RT2020

Self-dual modules in characteristic two and normal subgroups

Rod Gow, John Murray

We prove Clifford theoretic results on the representations of finite groups which only hold in characteristic $2$ . Let $G$ be a finite group, let $N$ be a normal subgroup of $G$ an…

math.GR2019

Frobenius-Schur indicators of characters in blocks with cyclic defect

John Murray

Let $p$ be an odd prime and let $B$ be a $p$ -block of a finite group which has cyclic defect groups. We show that all exceptional characters in $B$ have the same Frobenius-Schur in…

math.CO2018

A bijection for Euler's partition theorem in the spirit of Bressoud

John Murray

For each positive integer $n$ , we construct a bijection between the odd partitions and the distinct partitions of $n$ which extends Bressoud's bijection between the odd-and-distinc…