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math.GR2022
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…
math.GR2022
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…