S. Glasby

activity

20032025

most citedModules induced from a normal subgroup of prime index

4 citations · 19 across the 29 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.CO2016

Twisted Centralizer Codes

Adel Alahmadi, S. P. Glasby, Cheryl E. Praeger +2

Given an $n \times n$ matrix $A$ over a field $F$ and a scalar $a \in F$ , we consider the linear codes $C (A, a) := {B \in F^{n \times n} ∣ A B = a B A}$ of length $n^{2}$ . We call $C (A, a)$ …

math.CO2016★ 2 cited

On the dimension of twisted centralizer codes

S. P. Glasby, Cheryl E. Praeger, Adel Alahmadi

Given a field $F$ , a scalar $λ \in F$ and a matrix $A \in F^{n \times n}$ , the twisted centralizer code $C_{F} (A, λ) := {B \in F^{n \times n} ∣ A B - λ B A = 0}$ is a linear code of length $n^2…

math.GR2016

Maximal linear groups induced on the Frattini quotient of a $p$ -group

John Bamberg, S. P. Glasby, Luke Morgan +1

Let $p > 3$ be a prime. For each maximal subgroup $H ⩽ GL (d, p)$ with $∣ H ∣ ⩾ p^{3 d + 1}$ , we construct a $d$ -generator finite $p$ -group $G$ with the property that…

Twisted Centralizer Codes

On the dimension of twisted centralizer codes

Maximal linear groups induced on the Frattini quotient of a p-group

Maximal linear groups induced on the Frattini quotient of a $p$ -group