Lutz filtration as a Galois module
- Authors: Vostokov S.1, Nekrasov I.1, Vostokova R.2
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Affiliations:
- St. Petersburg State University
- Aff2
- Issue: Vol 37, No 2 (2016)
- Pages: 214-221
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197540
- DOI: https://doi.org/10.1134/S1995080216020153
- ID: 197540
Cite item
Abstract
In the paper, we consider a formal module F(ML) and its Lutz filtration ML ⊃ ML2 ⊃ ML3 ⊃..., where K is a finite extension of the field of p-adic numbers Qp, L/K is a normal extension without higher ramification with Galois group G = Gal(L/K), F(X, Y) is a formal group over a ring of integers OK with finite height. We study its structure as Z[G]-modules. The main result is contained in Theorem 4.
Keywords
About the authors
S. Vostokov
St. Petersburg State University
Author for correspondence.
Email: sergei.vostokov@gmail.com
Russian Federation, Universitetskaya nab. 7–9, St. Petersburg, 199034
I. Nekrasov
St. Petersburg State University
Email: sergei.vostokov@gmail.com
Russian Federation, Universitetskaya nab. 7–9, St. Petersburg, 199034
R. Vostokova
Aff2
Email: sergei.vostokov@gmail.com
Russian Federation, Pervaya Krasnoarmeiskaya ul. 1, St. Petersburg, 190005