Email this article Arithmetic of π0-critical module
- Authors: Afanaseva S.S.1, Ikonnikova E.V.1
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Affiliations:
- Department of Mathematics and Mechanics
- Issue: Vol 38, No 1 (2017)
- Pages: 131-136
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198760
- DOI: https://doi.org/10.1134/S1995080217010036
- ID: 198760
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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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About the authors
S. S. Afanaseva
Department of Mathematics and Mechanics
Author for correspondence.
Email: cheery_sonya@mail.ru
Russian Federation, St. Petersburg
E. V. Ikonnikova
Department of Mathematics and Mechanics
Email: cheery_sonya@mail.ru
Russian Federation, St. Petersburg
