Frontiers of Mathematics in China >
On p-CAP-subgroups of finite groups
Received date: 12 Jun 2020
Accepted date: 25 Sep 2020
Published date: 15 Oct 2020
Copyright
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.
Key words： Maximal subgroups; 2-maximal subgroups; p-CAP-subgroups
Zhichao GAO , Shouhong QIAO , Huaguo SHI , Long MIAO . On p-CAP-subgroups of finite groups[J]. Frontiers of Mathematics in China, 2020 , 15(5) : 915 -921 . DOI: 10.1007/s11464-020-0866-5
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