1
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, 445000, P. R. China
2
LMAM & School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China
Abstract
A finite group G is said to be a POS-group if for each x in G the cardinality of the set {y in G | o(y) = o(x)} is a divisor of the order of G. In this paper we study the structure of POS-groups with some cyclic Sylow subgroups.
