Suppose that G is a finite group and H is a subgroup of G.H is said to be a p-CAP-subgroup of G if H either covers or avoids each pd-chief factor of G.We give some characterizations for a group G to be p-solvable unde...Suppose that G is a finite group and H is a subgroup of G.H is said to be a p-CAP-subgroup of G if H either covers or avoids each pd-chief factor of G.We give some characterizations for a group G to be p-solvable under the assumption that some subgroups of G are p-CAP-subgroups of G.展开更多
基金supported by the National Natural ScienceFoundation of China(Grant Nos.11871062,12071093)the NSFC-RFBR(Grant No.12011530061)the Natural Science Foundation of Jiangsu Province(Grant No.BK20181451).
文摘Suppose that G is a finite group and H is a subgroup of G.H is said to be a p-CAP-subgroup of G if H either covers or avoids each pd-chief factor of G.We give some characterizations for a group G to be p-solvable under the assumption that some subgroups of G are p-CAP-subgroups of G.
