18 citations · 63 across the 18 of their papers we have counts for
24 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…
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…
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…
Punctured groups for exotic fusion systems
Ellen Henke, Assaf Libman, Justin Lynd
The transporter systems of Oliver and Ventura and the localities of Chermak are classes of algebraic structures that model the -local structures of finite groups. Other than the…
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…