24 citations · 37 across the 6 of their papers we have counts for
6 papers
Splitting the center of a Sylow subgroup
George Glauberman, Justin Lynd
Suppose is a prime and is a Sylow -subgroup of a finite group . If is normal in , then is the direct product of with . We prove…
Cohomology on the centric orbit category of a fusion system
George Glauberman, Justin Lynd
We study here the higher derived limits of mod cohomology on the centric orbit category of a saturated fusion system on a finite -group. It is an open problem whether all su…
Rigid automorphisms of linking systems
George Glauberman, Justin Lynd
A rigid automorphism of a linking system is an automorphism which restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the ce…
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…
More on a question of M. Newman on isomorphic subgroups of solvable groups
George Glauberman, Geoffrey R. Robinson
M.Newman has asked if it is the case that whenever H and K are isomorphic subgroups of a finite solvable group G with H maximal, then K is also maximal. This question was considere…
Control of fixed points and existence and uniqueness of centric linking systems
George Glauberman, Justin Lynd
A. Chermak has recently proved that to each saturated fusion system over a finite -group, there is a unique associated centric linking system. B. Oliver extended Chermak's proof…