Alice Devillers

activity

20072026

most citedOn imprimitive rank 3 permutation groups

30 citations · 70 across the 34 of their papers we have counts for

collaborators

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14 papers · 1 filter

math.GR2025

Block-transitive designs with a poset of imprimitive partitions

Carmen Amarra, Alice Devillers, Cheryl E. Praeger

We study block designs which admit an automorphism group that is transitive on blocks and points, and leaves invariant every partition in a given finite poset of partitions of the…

math.GR2025

Linear dimension of group actions

Alice Devillers, Michael Giudici, Daniel R. Hawtin +2

Two fundamental ways to represent a group are as permutations and as matrices. In this paper, we study linear representations of groups that intertwine with a permutation represent…

math.GR2025

Proper partial linear spaces affording imprimitive rank 3 automorphism groups

Anton A. Baykalov, Alice Devillers, Cheryl E. Praeger

A partial linear space is a point--line incidence structure such that each line is incident with at least two points and each pair of points is incident with at most one line. It i…

math.GR2022★ 5 cited

Rank three innately transitive permutation groups and related $2$ -transitive groups

Anton A. Baykalov, Alice Devillers, Cheryl E. Praeger

The sets of primitive, quasiprimitive, and innately transitive permutation groups may each be regarded as the building blocks of finite transitive permutation groups, and are analo…

math.GR2021

The groups $G$ satisfying a functional equation $f (x k) = x f (x)$ for some $k \in G$

Dominik Bernhardt, Tim Boykett, Alice Devillers +2

We study the groups $G$ with the curious property that there exists an element $k \in G$ and a function $f : G \to G$ such that $f (x k) = x f (x)$ holds for all $x \in G$ . This propert…

math.GR2021

Orbits of Sylow subgroups of finite permutation groups

John Bamberg, Alexander Bors, Alice Devillers +3

We say that a finite group $G$ acting on a set $Ω$ has Property $(*)_{p}$ for a prime $p$ if $P_{ω}$ is a Sylow $p$ -subgroup of $G_{ω}$ for all $ω \in Ω$ and Sylow $p$ -subgroups $P$ of $G$ …

Block-transitive designs with a poset of imprimitive partitions

Linear dimension of group actions

Proper partial linear spaces affording imprimitive rank 3 automorphism groups

Rank three innately transitive permutation groups and related 2-transitive groups

The groups G satisfying a functional equation f(xk)=xf(x) for some k∈G

Orbits of Sylow subgroups of finite permutation groups

Rank three innately transitive permutation groups and related $2$ -transitive groups

The groups $G$ satisfying a functional equation $f (x k) = x f (x)$ for some $k \in G$