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arXiv · 2008.03328

Variations on Glauberman's ZJ Theorem

Daniel Allcock
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Abstract

We give a new proof of Glauberman's ZJ Theorem, in a form that clarifies the choices involved and offers more choices than classical treatments. In particular, we introduce two new ZJ-type subgroups of a $p$-group $S$, that contain $ZJ_r(S)$ and $ZJ_o(S)$ respectively and are often strictly larger.

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Daniel Allcock. 2020-08-07. Variations on Glauberman's ZJ Theorem. https://arxiv.org/abs/2008.03328

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