Journal of Mathematical Sciences

, Volume 240, Issue 4, pp 447–458 | Cite as

Metacyclic 2-Extensions with Cyclic Kernel and Ultrasolvability Questions

  • D. D. KiselevEmail author

Necessary and sufficient conditions for a metacyclic extension to be 2-local and ultrasolvable are established. These conditions are used to prove the ultrasolvability of an arbitrary group extension which has a local ultrasolvable associated subextension of the second type. The obtained reductions enables us to derive ultrasolvability results for a wide class of nonsplit 2-extensions with cyclic kernel.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Russian Foreign Trade AcademyMoscowRussia

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