Finite groups with given ICΦ-subgroups

被引:1
作者
He, Xuanli [1 ]
Zhang, Xinfang [1 ]
Zhu, Wenyu [1 ]
Wang, Ju [1 ]
机构
[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
关键词
Supersolvable group; Formation; IC Phi-subgroup; p-nilpotent group; PERMUTABLE SUBGROUPS;
D O I
10.1007/s11587-025-00933-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let G be a finite group. A subgroup H of G is said to be an IC Phi-subgroup of G if H boolean AND [H, G] < (H). In this paper, we fix a subgroup D of Sylow p-subgroup P of G with 1 <|D|<|O-p(G) and study the structure of G under the assumption that all subgroups H of P with order |H| = |D| are IC-subgroups of G.
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页数:13
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