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Galois group of the maximal ℓ-extension with a fixed ramification of the rational number field

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Abstract

The problem of the isomorphism of certain pro-p-groups is considered.

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Literature cited

  1. I. R. Shafarevich, “A new proof of the Kronecker-Weber theorem,” Tr. Mat. Inst. Akad. Nauk SSSR,38, 382–387 (1951).

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  2. I. R. Shafarevich, “Extensions with given ramification points,” Publ. Math. IHES,18, 71–95 (1964).

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The author dedicates this paper to A. I. Vinogradov on the occasion of his 50th birthday.

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 169–170, 1979.

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Tsvetkov, V.M. Galois group of the maximal ℓ-extension with a fixed ramification of the rational number field. J Math Sci 17, 2199–2200 (1981). https://doi.org/10.1007/BF01567599

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  • DOI: https://doi.org/10.1007/BF01567599

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