On the (S)-Hypercenter of Finite Solvable Groups

• 作 者: CHEN Songliang LI Jinglei
• 机 构: School of Mathematics and Computer Science, Guizhou Normal College, Guiyang 550018, Guizhou, China
• 出 处: 武汉大学自然科学学报（英文版）
• 发表日期: 2012年1期
• 关键词: (S)-hypercenter saturated formation (S)-hypercentral subgroup

Let (S) be a non-empty subgroup-closed saturated formation,it is studied that the structure of a finite group G under the assumption that every subgroup of prime order p if p≠2 and every cyclic subgroup of order 2 or 4 if p=2 are contained in the (S)-hypercenter of the normalizer NG(P) of a Sylow p-subgroup P of G.Our results improve and extend some conclusions in the previous references.