Title of article
Variations on Glauberman’s ZJ theorem
Author/Authors
Allcock ، Daniel Department of Mathematics - University of Texas at Austin
From page
43
To page
52
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 ZJr(S) and ZJo(S) respectively and can be strictly larger.
Keywords
Thompson subgroup , Glauberman Replacement , ZJ Theorem
Journal title
International Journal of Group Theory
Journal title
International Journal of Group Theory
Record number
2711649
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