X-s-置换子群

• 作 者: 石磊 郭文彬 易小兰
• 机 构: Department of Mathematics
• 出 处: 数学研究与评论
• 发表日期: 2004年期
• 关键词: finite groups formations X-s-permutable subgroups Sylow subgroups maximal subgro

Let X be a nonempty subset of a group G.A subgroup H of G is said to be X-spermutable in G if,for every Sylow subgroup T of G,there exists an element x ∈X such that HTx=Tx H.In this paper,we obtain some results about the X-s-permutable subgroups and use them to determine the structure of some finite groups.