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math.GR2021
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…
math.GR2021
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…
math.GR2019
Semidirect Products and Wreath Products of Localities
Valentina Grazian, Ellen Henke
We develop a theory of semidirect products of partial groups and localities. Our concepts generalize the notions of direct products of partial groups and localities, and of semidir…
math.GR2012
Products in Fusion Systems
Ellen Henke
We revisit the notion of a product of a normal subsystem with a -subgroup as defined by Aschbacher. In particular, we give a previously unknown, more transparent construction.