Title of article :
Variations on Glauberman’s ZJ theorem
Author/Authors :
Allcock ، Daniel Department of Mathematics - University of Texas at Austin
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
