17 citations · 70 across the 13 of their papers we have counts for
6 papers · 1 filter
Realizability of fusion systems by discrete groups: II
Carles Broto, Ran Levi, Bob Oliver
We compare four different types of realizability for saturated fusion systems over discrete -toral groups. For example, when is a locally finite group all of whose -subgr…
Realizability of fusion systems by discrete groups
Carles Broto, Ran Levi, Bob Oliver
For a prime , fusion systems over discrete -toral groups are categories that model and generalize the -local structure of Lie groups and certain other infinite groups in t…
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…
Automorphisms of fusion systems of sporadic simple groups
Bob Oliver
We prove here that with a very small number of exceptions, when is a sporadic simple group and is a prime such that the Sylow -subgroups of are nonabelian, then $Out…
Automorphisms of fusion systems of finite simple groups of Lie type
Carles Broto, Jesper M. Møller, Bob Oliver
For a finite group G of Lie type and a prime p, we compare the automorphism groups of the fusion and linking systems of G at p with the automorphism group of G itself. When p is th…
Equivalences between fusion systems of finite groups of Lie type
Carles Broto, Jesper M. Møller, Bob Oliver
We prove, for certain pairs G,G of finite groups of Lie type, that the p-fusion systems for G and G' are equivalent. In other words, there is an isomorphism between a Sylow p-subgr…