1 citations · 3 across the 5 of their papers we have counts for
8 papers
Realizability and tameness of fusion systems
Carles Broto, Jesper Møller, Bob Oliver +1
A saturated fusion system over a finite -group is a category whose objects are the subgroups of and whose morphisms are injective homomorphisms between the subgroups sat…
Simplicity of fusion systems of finite simple groups
Bob Oliver, Albert Ruiz
We determine for which known finite simple groups and which primes the -fusion system of is simple. This means first collecting together the results that were alread…
Some new examples of simple -local compact groups
Alex Gonzalez, Toni Lozano, Albert Ruiz
In this paper we present new examples of simple -local compact groups for all odd primes. We also develop the necessary tools to show saturation, simpleness and the non-realizab…
On Thompson's -complement theorems for saturated fusion systems
Jon González-Sánchez, Albert Ruiz, Antonio Viruel
In this short note we prove that a saturated fusion system admitting some special type of automorphism is nilpotent. This generalizes classical results by J.G. Thompson.
Cohomology of Kac-Moody groups over a finite field
Jaume Aguadé, Albert Ruiz
We compute the mod cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from .
Cohomological uniqueness, Massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class
Albert Ruiz, Antonio Viruel
Let be a finite 2-group of maximal nilpotency class, and let be its classifying space. We prove that iterated Massey products in $H^*(BG;\F_2)$ do characterize the homotop…