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Arithmetic of π0-critical module

Abstract

In this paper, for a specific kind of one-dimensional formal groups over the ring of integers of a local field in the case of small ramification we study the arithmetic of the formal module constructed on the maximal ideal of a local field, containing all the roots of the isogeny. This kind of formal groups is a little broader than Honda groups. The Shafarevich system of generators is constructed.

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Correspondence to S. S. Afanaseva.

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Submitted by M. M. Arslanov

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Afanaseva, S.S., Ikonnikova, E.V. Arithmetic of π0-critical module. Lobachevskii J Math 38, 131–136 (2017). https://doi.org/10.1134/S1995080217010036

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Keywords and phrases

  • Formal modules
  • local fields