4 citations · 7 across the 10 of their papers we have counts for
11 papers
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…
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…
Quillen's conjecture and unitary groups
Antonio Díaz Ramos
We prove that the Quillen posets of -extensions of simple unitary groups have non-zero homology in the largest possible dimension, with just a few excepti…
A -nilpotency criterion for finite groups
Antonio Díaz Ramos, Antonio Viruel
We prove a -nilpotency criterion for finite groups in terms of the element orders of its -reduced sections that extends a nilpotency criterion by T{ă}rn{ă}uceanu.
A cohomological characterization of nilpotent fusion systems
Antonio Díaz Ramos, Arturo Espinosa Baro, Antonio Viruel
We provide a nilpotency criterion for fusion systems in terms of the vanishing of its cohomology with twisted coefficients.
Spectral sequences via examples
Antonio Díaz Ramos
These are lecture notes for a short course about spectral sequences that was held at Málaga, October 18--20 (2016), during the "Fifth Young Spanish Topologists Meeting". The approa…
On Quillen's conjecture for p-solvable groups
Antonio Díaz Ramos
We give a new proof of Quillen's conjecture for solvable groups via a geometric and explicit method. For p-solvable groups, we provide both a new proof using the Classification of…
Cohomology of uniserial -adic space groups
Antonio Díaz Ramos, Oihana Garaialde Ocaña, Jon González-Sánchez
We prove the non-twisted case of Carlson's conjecture for any prime and we show how to proceed in the twisted case.
The cohomology of the sporadic group over
Antonio Díaz Ramos, Oihana Garaialde Ocaña
We describe the cohomology ring both as subring of and with an abstract presentation. We also give its Poincaré series. We use…
A local method for posets
Antonio Díaz Ramos
We propose some conditions on a poset that produce a small chain complex for its homology. This allows to compare simplicial complexes and Quillen's complexes under the same prism.…
A spectral sequence for fusion systems
Antonio Díaz Ramos
We build a spectral sequence converging to the cohomology of a fusion system with a strongly closed subgroup. This spectral sequence is related to the Lyndon-Hochschild-Serre spect…