4 papers · 1 filter
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.
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…