3 papers
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…
math.RT2018
Weight conjectures for fusion systems
Radha Kessar, Markus Linckelmann, Justin Lynd +1
Many of the conjectures of current interest in the representation theory of finite groups in characteristic are local-to-global statements, in that they predict consequences fo…