Paper Information

Journal:   INTERNATIONAL JOURNAL OF GROUP THEORY   DECEMBER 2012 , Volume 1 , Number 4; Page(s) 9 To 23.
 
Paper: 

CH-GROUPS WHICH ARE FINITE P-GROUPS

 
 
Author(s):  WILKENS B.*
 
* DEPARTMENT OF MATHEMATICS, UNIVERSITY OF BOTSWANA, PRIVATE BAG 00704, GABORONE, BOTSWANA
 
Abstract: 
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+1. Detailed descriptions, in some cases characterisations up to isoclinism, are given.
 
Keyword(s): FINITE-P-GROUPS, AC-GROUPS, CONJUGATE RANK
 
References: 
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