54 citations · 65 across the 5 of their papers we have counts for
5 papers
Tate's and Yoshida's theorem on control of transfer for fusion systems
Antonio Diaz, Adam Glesser, Sejong Park +1
We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of -group residuals and transfer maps in cohomology for fu…
Cohomological uniqueness of some -groups
Antonio Díaz, Albert Ruiz, Antonio Viruel
In this paper we consider classifying spaces of a family of -groups and we prove that mod cohomology enriched with Bockstein spectral sequences determines their homotopy typ…
A method for integral cohomology of posets
Antonio Diaz
We present a method to compute integral cohomology of posets. This toolbox is applicable as soon as the sub-posets under each object possess certain structure. This is the case for…
A family of acyclic functors
Antonio Diaz
We determine a family of functors from a poset to abelian groups such that the higher direct limits vanish on them. This is done by first characterizing the projective functors. Th…
All p-local finite groups of rank two for odd prime p
Antonio Diaz, Albert Ruiz, Antonio Viruel
In this paper we give a classification of the rank two p-local finite groups for odd p. This study requires the analisis of the possible saturated fusion systems in terms of the ou…