Variations on Glauberman's ZJ theorem

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.

کلیدواژه ها:

‎Thompson subgroup‎ ، ‎Glauberman Replacement‎ ، ‎ZJ Theorem