Ellen Henke

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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 $Z^{*}$ -Theorem

Ellen Henke, Jason Semeraro

Glauberman's $Z^{*}$ -theorem and analogous statements for odd primes show that, for any prime $p$ and any finite group $G$ with Sylow $p$ -subgroup $S$ , the centre of $G/O_{p^\prime}(…

Control of Fusion by Abelian Subgroups of the Hyperfocal Subgroup

Centralizers of normal subgroups and the Z∗-Theorem

Centralizers of normal subgroups and the $Z^{*}$ -Theorem