3 citations · 7 across the 11 of their papers we have counts for
12 papers
Partial groups, pregroups and realisability of fusion systems
Nicolas Lemoine, Rémi Molinier
In this article, we compare two different notions of partially defined group strutures, namely partial groups and pregroups, as introduced by Chermak and Stallings respectively. In…
Crystal Nucleation in Al-Ni Alloys: an Unsupervised Chemical and Topological Learning Approach
Sébastien Becker, Emilie Devijver, Rémi Molinier +1
Crystallization represents a fundamental process engendering solidification of a material and determines its microstructure. Driven by complex phenomena at the atomic scale, its un…
Unsupervised topological learning approach of crystal nucleation in pure Tantalum
Sébastien Becker, Emilie Devijver, Rémi Molinier +1
Nucleation phenomena commonly observed in our every day life are of fundamental, technological and societal importance in many areas, but some of their most intimate mechanisms rem…
Unsupervised topological learning approach of crystal nucleation
Sébastien Becker, Emilie Devijver, Rémi Molinier +1
Nucleation phenomena commonly observed in our every day life are of fundamental, technological and societal importance in many areas, but some of their most intimate mechanisms rem…
Unsupervised topological learning for identification of atomic structures
Sébastien Becker, Emilie Devijver, Rémi Molinier +1
We propose an unsupervised learning methodology with descriptors based on Topological Data Analysis (TDA) concepts to describe the local structural properties of materials at the a…
Path partial groups
Antonio Díaz Ramos, Rémi Molinier, Antonio Viruel
It is well known that not every finite group arises as the full automorphism group of some group. Here we show that the situation is dramatically different when considering the cat…
Comparing -dice fixing the sum of the faces
Rémi Molinier
These notes describe some results on dice comparisons when changing the numbers on the faces while the sum of all the face stay the same.
Centric linking systems of locally finite groups
Rémi Molinier
These notes are defining the notion of centric linking system for a locally finite group If a locally finite group has countable Sylow -subgroups, we prove that, with a coun…
Alperin's Fusion Theorem for localities
Rémi Molinier
In these notes we give an Alperin's Fusion Theorem for localities.
Control of fixed points over discrete -toral groups, and existence and uniqueness of linking systems
Rémi Molinier
The existence and uniqueness of linking systems associated to saturated fusion systems over discrete -toral groups were proved by Levi and Libman. Their proof make indirectly us…
Cohomology of linking systems with twisted coefficients by a -solvable action
Rémi Molinier
In this paper we study the cohomology of the geometric realization of linking systems with twisted coefficients. More precisely, given a prime and a -local finite group $(S,…
Cohomology with twisted coefficients of the classifying space of a fusion system
Rémi Molinier
We study the cohomology with twisted coefficients of the geometric realization of a linking system associated to a saturated fusion system . More precisely, we extend…