A subgroup H is called nearly ℳ-supplemented in a finite group G if there exists a normal subgroup K of G such that HK ⊴ G and TK < HK for every maximal subgroup T of H. We obtain some new results on supersoluble groups and their formation by using nearly ℳ-supplemented subgroups and study the structure of finite groups.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 1, pp. 63–70, January, 2014.
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Guo, J., Zhang, J. & Miao, L. On Nearly ℳ-Supplemented Subgroups of Finite Groups. Ukr Math J 66, 66–76 (2014). https://doi.org/10.1007/s11253-014-0912-0
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DOI: https://doi.org/10.1007/s11253-014-0912-0