CH-groups which are finite p-groups
عنوان مقاله: CH-groups which are finite p-groups
شناسه ملی مقاله: JR_THEGR-1-4_002
منتشر شده در در سال 1391
شناسه ملی مقاله: JR_THEGR-1-4_002
منتشر شده در در سال 1391
مشخصات نویسندگان مقاله:
Bettina Wilkens - Lecturer at University of Botswana
خلاصه مقاله:
Bettina Wilkens - Lecturer at University of Botswana
In their paper "Finite groups whose noncentral commuting elements have centralizers of equal size", S. Dolfi, M. Herzog and E. Jabara classify the groups in question- which they call CH-groups- up to finite p-groups. Our goal is to investigate the finite p-groups in the class. The chief result is that a finite p-group that is a CH-group either has an abelian maximal subgroup or is of class at most p+۱. Detailed descriptions, in some cases characterisations up to isoclinism, are given.
کلمات کلیدی: Finite-p-groups, AC-groups, conjugate rank
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199574/