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View article: Correction to the article An algebraic model for finite loop spaces
Correction to the article An algebraic model for finite loop spaces Open
We correct here two errors in our earlier paper "An algebraic model for finite loop spaces" [arXiv:1212.2033]
View article: Realizability of fusion systems by discrete groups
Realizability of fusion systems by discrete groups Open
For a prime $p$, fusion systems over discrete $p$-toral groups are categories that model and generalize the $p$-local structure of Lie groups and certain other infinite groups in the same way that fusion systems over finite $p$-groups mode…
View article: Realizability and tameness of fusion systems
Realizability and tameness of fusion systems Open
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 satisfying certain axioms. A fusion system over is realized by a finite g…
View article: An extension theory for partial groups
An extension theory for partial groups Open
Partial groups are a natural generalization of discrete groups recently introduced by Chermak in connection with the theory of fusion systems. In this paper we develop an extension theory for partial groups based in the classical theory of…
View article: Realizability and tameness of fusion systems
Realizability and tameness of fusion systems Open
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups of $S$ and whose morphisms are injective homomorphisms between the subgroups satisfying certain axioms. A fusion system over $S$ is realize…
View article: Tameness of fusion systems of finite groups
Tameness of fusion systems of finite groups Open
The fusion system of a finite group at a prime $p$ is a category that encodes all conjugacy relations among subgroups and elements of a given Sylow $p$-subgroup. Such a fusion system is tame if there is some (possibly different) finite gro…
View article: Automorphisms of fusion systems of finite simple groups of Lie type
Automorphisms of fusion systems of finite simple groups of Lie type Open
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 the defining characteristic of G, they are all isomorphic, wi…