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math.GR2022
Realizing Finite Groups as Automizers
Sylvia Bayard, Justin Lynd
It is shown that any finite group is realizable as the automizer in a finite perfect group of an abelian subgroup whose conjugates generate . The construction uses techn…
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…