%0 Journal Article
%T An inequality detecting nilpotency of finite groups
%A Tom De Medts
%A Marius T£¿rn£¿uceanu
%J Mathematics
%D 2012
%I arXiv
%X In this short note, we provide an inequality that holds in any finite group, only involving the orders of the elements; we prove that equality holds if and only if the group is nilpotent.
%U http://arxiv.org/abs/1207.1020v2