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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.AT2025
Cohomology of non-finite CL-shellable posets
Guille Carrión Santiago, Antonio Díaz Ramos
Shellable complexes are homotopy equivalent to a wedge of spheres of possibly different dimensions, so that the (co)homology of the constant functor over the complex is concentrate…