4 papers
Large subgroups of fusion systems and localities
Ellen Henke, Edoardo Salati
Saturated fusion systems are categories modeling properties of conjugacy of p-subgroups in finite groups. It was shown by Chermak that they correspond nicely to group-like structur…
On Wielandt's Join Theorem for fusion systems and localities
Ellen Henke
Saturated fusion systems are categories generalizing important aspects of conjugacy of -subgroups in finite groups. It was shown by Chermak that there are group-like structures…
Components and realizability of fusion systems
Ellen Henke, Justin Lynd
For it is known that a saturated -fusion system is realizable if and only if each of its components is realizable by a finite simple group. For primes th…
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…