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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.GR2019
Centers of Sylow Subgroups and Automorphisms
George Glauberman, Robert Guralnick, Justin Lynd +1
Suppose that p is an odd prime and G is a finite group having no normal non-trivial p'-subgroup. We show that if a is an automorphism of G of p-power order centralizing a Sylow p-g…