On universally solvable embedding problems with cyclic kernel
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 14, Tome 338 (2006), pp. 173-179

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It is proved that the universally solvable imbedding problem with cyclic kernel is semidirect.
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     author = {V. V. Ishkhanov and B. B. Lur'e},
     title = {On universally solvable embedding problems with cyclic kernel},
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     publisher = {mathdoc},
     volume = {338},
     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a6/}
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V. V. Ishkhanov; B. B. Lur'e. On universally solvable embedding problems with cyclic kernel. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 14, Tome 338 (2006), pp. 173-179. http://geodesic.mathdoc.fr/item/ZNSL_2006_338_a6/