On delta-permutability of maximal subgroups of Sylow subgroups of finite groups

摘要

In this paper, we get the main theorem: Let p be a prime dividing the order of G and G = P . H, where P is an element of Syl(p)(G) and H is p'-Hall subgroup of G. Let delta be a complete set of Sylow subgroups of H. If G satisfies the following conditions: i) N-G(P)/C-G(P) is a p-group; ii) for any maximal M of P, M is delta- permutable in H, then G is p-nilpotent. Some known results are generalized.