3 papers
math.GR2025
Every finite group is represented by a finite incidence geometry
Antonio Díaz Ramos, Rémi Molinier, Antonio Viruel
We investigate the relationship between finite groups and incidence geometries through their automorphism structures. Building upon classical results on the realizability of groups…
math.GR2025
A remark on the number of automorphisms of some algebraic structures
Rémi Molinier
In these notes we look at the following question: given a category of algebraic structure (e.g. the category of groups, monoids, partial groups, ...) and a rational $r…
math.GR2024
Dimension and partial groups
Philip Hackney, Rémi Molinier
A partial group with elements is, when regarded as a symmetric simplicial set, of dimension at most . This dimension is if and only if the partial group is a group. As…