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Subgroups of norms in elliptic curves defined over a local field

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Literature cited

  1. I. R. Shafarevich, “Indexes of elliptic curves,” Dokl. Akad. Nauk SSSR,114, No. 4 (1957).

  2. S. Lichtenbaum, “Period-index problem for elliptic curves,” Am. J. Math.,90, No. 4 (1968).

  3. P. A. Medvedev, “Order and index of an elliptic curve,” Izv. Akad. Nauk SSSR, Ser. Matem.,30, No. 5 (1966).

  4. J. W. S. Cassels, “Diophantine equations with special reference to elliptic curves,” J. London Math. Soc.,41, No. 2 (1966).

  5. J. W. S. Cassels, “Arithmetic on curves on genus 1, V: two counter-examples,” J. London Math. Soc.,38, No. 2 (1963).

  6. O. M. Vvedens'kii, “Local fields of classes of elliptic curves,” Dokl. Akad. Nauk URSR, Ser. A, No. 10 (1968).

  7. P. Roquette, “Splitting of algebras by function fields of one variable,” Nagoya Math. J.,27, No. 1 (1966).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 22, No. 4, pp. 531–533, July–August, 1970.

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Vvedenskii, O.N. Subgroups of norms in elliptic curves defined over a local field. Ukr Math J 22, 456–458 (1970). https://doi.org/10.1007/BF01090771

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  • DOI: https://doi.org/10.1007/BF01090771

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