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

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Showing 2020 · math.GRShow all

4 papers · 2 filters

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

Finite $2$ -groups with exactly three automorphism orbits

Alexander Bors, Stephen P. Glasby

We give a complete classification of the finite $2$ -groups $G$ for which the automorphism group $Aut (G)$ acting naturally on $G$ has three orbits. There are two infi…

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…

Subgroups of Classical Groups that are Transitive on Subspaces

Point-primitive generalised hexagons and octagons and projective linear groups

Finite 2-groups with exactly three automorphism orbits

Conjugacy class sizes in arithmetic progression

Finite $2$ -groups with exactly three automorphism orbits