CH-GROUPS WHICH ARE FINITE p-GROUPS

Abstract. in their paper finite groups whose noncentral commuting elements have centralizers ofequal 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 chiefresult is that a finite p-group that is a ch-group either has an abelian maximal subgroup or is of classat most p + 1. detailed descriptions, in some cases characterisations up to isoclinism, are given.