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Imbedding problem with a noncommutative kernel of order p4. II

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Abstract

The problem of imbedding number fields is investigated for p-groups, where the kernel is a non-Abelian group of order p4 with two generators α,β and relations

It is shown that the solvability of this problem is equivalent to the simultaneous solvability of all the collateral local problems and the collateral Abelian problem obtained by the factorization of the kernel by the derived group.

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Authors
  1. V. V. Ishkhanov
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  2. B. B. Lur'e
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademiya Nauk SSSR, Vol. 191, pp. 101–113, 1991.

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Ishkhanov, V.V., Lur'e, B.B. Imbedding problem with a noncommutative kernel of order p4. II. J Math Sci 63, 671–677 (1993). https://doi.org/10.1007/BF01097980

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  • DOI: https://doi.org/10.1007/BF01097980

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