S. Glasby

activity

20182021

most citedModules induced from a normal subgroup of prime index

4 citations · 7 across the 6 of their papers we have counts for

collaborators

10 papers

math.RT2021★ 4 cited

Modules induced from a normal subgroup of prime index

S. P. Glasby

Let $G$ be a finite group and $H$ a normal subgroup of prime index $p$ . Let $V$ be an irreducible $F H$ -module and $U$ a quotient of the induced $F G$ -module $V\k…

math.GR2020★ 1 cited

Subgroups of Classical Groups that are Transitive on Subspaces

Michael Giudici, S. P. Glasby, Cheryl E. Praeger

For each finite classical group $G$ , we classify the subgroups of $G$ which act transitively on a $G$ -invariant set of subspaces of the natural module, where the subspaces are eith…

math.GR2020

Point-primitive generalised hexagons and octagons and projective linear groups

S. P. Glasby, E. Pierro, Cheryl E. Praeger

We discuss recent progress on the problem of classifying point-primitive generalised polygons. In the case of generalised hexagons and generalised octagons, this has reduced the pr…

math.GR2020

Conjugacy class sizes in arithmetic progression

Mariagrazia Bianchi, Cheryl E. Praeger, S. P. Glasby

Let $cs (G)$ denote the set of conjugacy class sizes of a group $G$ , and let $cs^{*} (G) = cs (G) ∖ {1}$ be the sizes of non-central classes. We prove three resu…

math.NT2019

Cyclotomic ordering conjecture

S. P. Glasby

This note describes a conjecture involving cyclotomic polynomials and some initial thoughts towards a solution. Given positive integers $m, n$ , the conjecture is that either $Φ_m(q)…

math.GR2019

Classifying uniformly generated groups

S. P. Glasby

A finite group $G$ is called *uniformly generated*, if whenever there is a (strictly ascending) chain of subgroups $1<\langle x_1\rangle<\langle x_1,x_2\rangle <\cdots<\langle x_1,…