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The Universally Solvable Embedding Problem with Cyclic Kernel

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Abstract

It is proved that the universally solvable embedding problem with cyclic kernel of odd order is semidirect. Bibliography: 4 titles.

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REFERENCES

  1. B. B. Lur'e, “Universally solvable embedding problems," Trudy MIAN, CLXXXIII (183), 121–126 (1990).

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  2. V. V. Ishkhanov, B. B. Lur'e, and D. K. Faddeev, The Embedding Problem in Galois Theory, Transl. Math. Monogr., 165, AMS (1997).

  3. J.-P. Serre, Cohomologie Négligeable, College de France, Paris (1993–94).

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  4. J.-P. Serre, Cohomologie Galoisienne, Springer-Verlag (1964).

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, Russia

    V. V. Ishkhanov & B. B. Lur'e

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  1. V. V. Ishkhanov
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  2. B. B. Lur'e
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Ishkhanov, V.V., Lur'e, B.B. The Universally Solvable Embedding Problem with Cyclic Kernel. Journal of Mathematical Sciences 112, 4348–4352 (2002). https://doi.org/10.1023/A:1020394919710

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  • DOI: https://doi.org/10.1023/A:1020394919710

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