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. A POS-group G is said to be a Hereditary Perfect Order Subset group if all even order subgroups of G are POS-group. In this paper we study the structure of Hereditary perfect order subset groups.



Additional Information


Biju, G. S. , Sajikumar, S., Vinod, S.