On profinite groups in which centralizers have bounded rank
On profinite groups in which centralizers have bounded rank
The paper deals with profinite groups in which centralizers are of finite rank. For a positive integer [Formula: see text] we prove that if [Formula: see text] is a profinite group in which the centralizer of every nontrivial element has rank at most [Formula: see text], then [Formula: see text] …