Variations on Glauberman's ZJ theorem
Publish place: International Journal of Group Theory، Vol: 11، Issue: 2
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_THEGR-11-2_001
تاریخ نمایه سازی: 19 آبان 1400
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.
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Authors
Daniel Allcock
Department of Mathematics, University of Texas at Austin, RLM ۸.۱۰۰, ۲۵۱۵ Speedway Stop C۱۲۰۰, Austin, Texas, USA ۷۸۷۱۲-۱۲۰۲