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dc.contributor.authorMonakhov, V.S.-
dc.contributor.authorTrofimuk, A.A.-
dc.contributor.authorМонахов, В.С.-
dc.contributor.authorТрофимук, А.А.-
dc.date.accessioned2021-02-15T14:04:03Z-
dc.date.available2021-02-15T14:04:03Z-
dc.date.issued2020-
dc.identifier.citationMonakhov, V.S. On the supersolubility of a group with semisubnormal factors / V.S. Monakhov, A.A. Trofimuk // Journal of Group Theory. - 2020. - № 23. - Р. 893-911.ru
dc.identifier.urihttp://elib.gsu.by/jspui/handle/123456789/16578-
dc.description.abstractA subgroup A of a group G is called seminormal in G if there exists a subgroup B such that G = AB and AX is a subgroup of G for every subgroup X of B. We introduce the new concept that unites subnormality and seminormality. A subgroup A of a group G is called semisubnormal in G if A is subnormal in G or seminormal in G. A group G = AB with semisubnormal supersoluble subgroups A and B is studied. The equality Gᵁ = (G΄)ᶰ is established; moreover, if the indices of subgroups A and B in G are relatively prime, then Gᵁ = (G΄)ᶰ². Here N, U and N² are the formations of all nilpotent, supersoluble and metanilpotent groups, respectively; H ͯ is the X-residual of H. Also we prove the supersolubility of G = AB when all Sylow subgroups of A and of B are semisubnormal in G.ru
dc.language.isoАнглийскийru
dc.titleOn the supersolubility of a group with semisubnormal factorsru
dc.typeArticleru
dc.rootJournal of Group Theoryru
dc.number№ 23ru
dc.identifier.DOI10.1515/jgth-2019-0177ru
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