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
Li, J., Shi, W., & Yu, D. "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.
CHICAGO
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,
VANCOUVER
Li J., Shi W., Yu D. The influence of S-embedded subgroups on the structure of finite groups. BIMS. 2015;41(1):87-100.
