Abstract：A subgroup A is called a CAPSp(*)-subgroup of a finite group G， if for any pd-chief factor H/K of G， we have either AH＝AK or |A∩H：A∩K|p≤p. In this paper， the influence of the CAPSp(*) properties of maximal subgroups， second maximal subgroups and Sylow subgroups on the structure of chief factors of finite groups is explored， and the related characterizations are given.
王鸿志,缪 龙,刘 威. 子群的CAPSp(*)性质对主因子结构的影响[J]. 华中师范大学学报(自然科学版), 2024, 58(3): 304-309.
WANG Hongzhi,MIAO Long,LIU Wei. Influence of the CAPSp(*) properties of subgroups on the structure of chief factors. journal1, 2024, 58(3): 304-309.
2024, Vol. 58 
