Arithmetic of π0-critical module

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 forma...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2017, Vol.38 (1), p.131-136
Main Authors: Afanaseva, S. S., Ikonnikova, E. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Arithmetic
Geometry
Integers
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Summary: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080217010036