A subgroup H of a finite group G is said to be Hall S-quasinormally embedded in G if H is a Hall subgroup of the S-quasinormal closure H SQG . We study finite groups G containing a Hall S-quasinormally embedded subgroup of index p n for each prime power divisor p n of the order of G.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 8, pp. 1146–1152, August,
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Liu, J., Li, S. CLT-Groups with Hall S-Quasinormally Embedded Subgroups. Ukr Math J 66, 1281–1288 (2015). https://doi.org/10.1007/s11253-015-1008-1
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DOI: https://doi.org/10.1007/s11253-015-1008-1