Gabriel Verret

activity

20102025

most citedPrimitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

16 citations · 77 across the 45 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

math.GR2025

Some new compatible groups

Zhaochen Ding, Gabriel Verret

Two finite groups $L_{1}$ and $L_{2}$ are compatible if there exists a finite group $G$ with isomorphic normal subgroups $N_{1}$ and $N_{2}$ such that $L_{1} ≅ G / N_{1}$ and $L_{2} ≅ G / N_{2}$ …

math.CO2025

On transitive permutation groups with exponential graph growth

Đorđe Mitrović, Gabriel Verret

Let $Γ$ be a finite connected graph and $G$ a vertex-transitive group of its automorphisms. The pair $(Γ, G)$ is said to be locally- $L$ if the permutation group induced by the acti…

math.GR2025★ 1 cited

Derangements in permutation groups with two orbits

Melissa Lee, Tomasz Popiel, Gabriel Verret

A classical theorem of Jordan asserts that if a group $G$ acts transitively on a finite set of size at least $2$ , then $G$ contains a derangement (a fixed-point free element). Gene…

math.GR2025

Some necessary conditions for compatibility of groups

Zhaochen Ding, Gabriel Verret

Two groups $L_{1}$ and $L_{2}$ are compatible if there exists a finite group $G$ with isomorphic normal subgroups $N_{1}$ and $N_{2}$ such that $L_{1} ≅ G / N_{1}$ and $L_{2} ≅ G / N_{2}$ . In th…