3 papers
math.GR2019
Semidirect Products and Wreath Products of Localities
Valentina Grazian, Ellen Henke
We develop a theory of semidirect products of partial groups and localities. Our concepts generalize the notions of direct products of partial groups and localities, and of semidir…
math.GR2016
Control of Fusion by Abelian Subgroups of the Hyperfocal Subgroup
Ellen Henke, Jun Liao
We prove that an isomorphism between saturated fusion systems over the same finite p-group is detected on the elementary abelian subgroups of the hyperfocal subgroup if p is odd, a…
math.GR2014
Centralizers of normal subgroups and the -Theorem
Ellen Henke, Jason Semeraro
Glauberman's -theorem and analogous statements for odd primes show that, for any prime and any finite group with Sylow -subgroup , the centre of $G/O_{p^\prime}(…