%0 Journal Article %T CH-groups which are finite p-groups %A Bettina Wilkens %J International Journal of Group Theory %D 2012 %I University of Isfahan %X 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. %K Finite-p-groups %K AC-groups %K conjugate rank %U http://www.theoryofgroups.ir/?_action=showPDF&article=1509&_ob=028ff27c245e1f41ebc5c1a1b4f12e07&fileName=full_text.pdf