18 citations · 63 across the 18 of their papers we have counts for
5 papers · 1 filter
Normalizers and centralizers of subnormal subsystems of fusion systems
Ellen Henke
Every saturated fusion system corresponds to a group-like structure called a regular locality. In this paper we study (suitably defined) normalizers and centralizers of partial sub…
Kernels of Localities
Valentina Grazian, Ellen Henke
We state a sufficient condition for a fusion system to be saturated. This is then used to investigate localities with kernels, i.e. localities which are (in a particular way) exten…
Normalizers and centralizers of -subgroups in normal subsystems of fusion systems
Ellen Henke
Suppose is a normal subsystem of a saturated fusion system over . If is fully -normalized, then Aschbacher defined a normal su…
Some products in fusion systems and localities
Ellen Henke
The theory of saturated fusion systems resembles in many parts the theory of finite groups. However, some concepts from finite group theory are difficult to translate to fusion sys…
Commuting partial normal subgroups and regular localities
Ellen Henke
In this paper, important concepts from finite group theory are translated to localities, in particular to linking localities. Here localities are group-like structures associated t…