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Finite groups, whose primary subgroups are either F-subnormal or F-abnormal

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We study finite groups whose each primary subgroup is either subnormal or abnormal with respect to classes of all nilpotent, all p-closed, and all p-nilpotent groups. In particular, we fully describe these groups.

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References

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Correspondence to V. N. Semenchuk.

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Original Russian Text © V.N. Semenchuk and S.N. Shevchuk, 2011, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, No. 8, pp. 46–55.

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Semenchuk, V.N., Shevchuk, S.N. Finite groups, whose primary subgroups are either F-subnormal or F-abnormal. Russ Math. 55, 38–46 (2011). https://doi.org/10.3103/S1066369X1108007X

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  • DOI: https://doi.org/10.3103/S1066369X1108007X

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