Title: Finite groups with certain subgroups of Sylow subgroups complemented
Abstract: Let G be a finite group and H a subgroup of G. We say that H is complemented in G if there exists a subgroup K of G such that G=HK and H∩K=1. For each prime p dividing the order of G let P be a Sylow p-subgroup of G. We fix in each P a subgroup D such that 1⩽|D|<|P| and study the structure of G under the assumption that each subgroup H of P with |H|=|D| and |H|=p|D| is complemented in G.