Geodesic
Metacyclic $2$-extensions with cyclic kernel and the ultrasolvability questions
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 32, Tome 460 (2017), pp. 114-133 Cet article a éte moissonné depuis la source Math-Net.Ru

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We give a necessary and sufficient conditions for $2$-local ultrasolvability of the metacyclic extensions. Then we derive the ultrasolvability for an arbibrary group extension, which has a local ultrasolvable associated subextension of the second type. Finally, using the above reductions, we establish the ultrasolvability results for a wide class of non-split $2$-extensions with cyclic kernel. 
@article{ZNSL_2017_460_a4,
     author = {D. D. Kiselev},
     title = {Metacyclic $2$-extensions with cyclic kernel and the ultrasolvability questions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {114--133},
     year = {2017},
     volume = {460},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_460_a4/}
}
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D. D. Kiselev. Metacyclic $2$-extensions with cyclic kernel and the ultrasolvability questions. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 32, Tome 460 (2017), pp. 114-133. http://geodesic.mathdoc.fr/item/ZNSL_2017_460_a4/

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