Geodesic
On ultrasolvability of $p$-extensions of an abelian group by a cyclic kernel
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 30, Tome 452 (2016), pp. 108-131 Cet article a éte moissonné depuis la source Math-Net.Ru

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We solve a problem in the embedding theory by A. V. Yakovlev for $p$-extensions of odd order with cyclic normal subgroup and abelian quotient-group: for such nonsplit extensions there exists a realization for the quotient-group as Galois group over number fields such as corresponding embedding problem is ultrasolvable (i.e. this embedding problem is solvable and has only fields as solutions). Also we give a solution for embedding problems of $p$-extensions of odd order with kernel of order $p$ and with a quotient-group which is represented by direct product of its proper subgroups – this is a generalization for $p>2$ an analogous result for $p=2$ by A. Ledet. 
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     author = {D. D. Kiselev},
     title = {On ultrasolvability of $p$-extensions of an abelian group by a~cyclic kernel},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {108--131},
     year = {2016},
     volume = {452},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_452_a5/}
}
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D. D. Kiselev. On ultrasolvability of $p$-extensions of an abelian group by a cyclic kernel. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 30, Tome 452 (2016), pp. 108-131. http://geodesic.mathdoc.fr/item/ZNSL_2016_452_a5/

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