A subgroup H of G is said to be S-embedded in G if G has a normal subgroup N such that HN is s-permutable in G and H ∩ N ⩽ H sG , where H sG is the largest s-permutable subgroup of G contained in H. S-embedded subgroups are used to give novel characterizations for some classes of groups. New results are obtained and a number of previously known ones are generalized.
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Translated from Algebra i Logika, Vol. 49, No. 4, pp. 433–450, July–August, 2010.
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Guo, W., Lu, Y. & Niu, W. S-embedded subgroups of finite groups. Algebra Logic 49, 293–304 (2010). https://doi.org/10.1007/s10469-010-9097-2
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DOI: https://doi.org/10.1007/s10469-010-9097-2