1
Chongqing University of Arts and Sciences, P R China
2
Chongqing University of Arts and Sciences
Abstract
Let H be a subgroup of a group G. H is said to be S-embedded in G if G has a normal T such that HT is an S-permutable subgroup of G and H ∩ T ≤ H sG, where H denotes the subgroup generated by all those subgroups of H which are S-permutable in G. In this paper, we investigate the influence of minimal S-embedded subgroups on the structure of finite groups.
We determine the structure the finite groups with some minimal S-embedded subgroups. We also give some new characterizations of p-nilpotency of finite groups in terms of S-embedding property. As applications, some previous known results are generalized.
Li, J., Shi, W., & Yu, D. (2015). The influence of S-embedded subgroups on the structure of finite groups. Bulletin of the Iranian Mathematical Society, 41(1), 87-100.
MLA
J Li; W. Shi; D. Yu. "The influence of S-embedded subgroups on the structure of finite groups". Bulletin of the Iranian Mathematical Society, 41, 1, 2015, 87-100.
HARVARD
Li, J., Shi, W., Yu, D. (2015). 'The influence of S-embedded subgroups on the structure of finite groups', Bulletin of the Iranian Mathematical Society, 41(1), pp. 87-100.
VANCOUVER
Li, J., Shi, W., Yu, D. The influence of S-embedded subgroups on the structure of finite groups. Bulletin of the Iranian Mathematical Society, 2015; 41(1): 87-100.
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