%0 Journal Article
%T CH-groups which are finite $p$-groups
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Wilkens, Bettina
%D 2012
%\ 12/01/2012
%V 1
%N 4
%P 9-23
%! CH-groups which are finite $p$-groups
%K Finite-$p$-groups
%K AC-groups
%K conjugate rank
%R 10.22108/ijgt.2012.1509
%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.
%U https://ijgt.ui.ac.ir/article_1509_028ff27c245e1f41ebc5c1a1b4f12e07.pdf