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Ultrasolvable Covering of the Group Z 2 by the Groups Z 8, Z 16, AND Q 8

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Infinite series of nontrivial ultrasolvable embedding problems with cyclic kernel of order 8, 16, and quaternion kernel of order 8 are constructed. Among the embedding problems of a quadratic extension into a Galois algebra, 2-local nonsplit universally solvable problems with generalized quaternion or cyclic kernels are found. Bibliography: 14 titles.

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Authors and Affiliations

  1. Russian Foreign Trade Academy, Moscow, Russia

    D. D. Kiselev

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  1. D. D. Kiselev
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Correspondence to D. D. Kiselev.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 435, 2015, pp. 47–72.

Translated by I. Ponomarenko.

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Kiselev, D.D. Ultrasolvable Covering of the Group Z 2 by the Groups Z 8, Z 16, AND Q 8 . J Math Sci 219, 523–538 (2016). https://doi.org/10.1007/s10958-016-3125-2

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  • DOI: https://doi.org/10.1007/s10958-016-3125-2

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