Lutz filtration as a Galois module
- Autores: Vostokov S.1, Nekrasov I.1, Vostokova R.2
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Afiliações:
- St. Petersburg State University
- Aff2
- Edição: Volume 37, Nº 2 (2016)
- Páginas: 214-221
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197540
- DOI: https://doi.org/10.1134/S1995080216020153
- ID: 197540
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Resumo
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.
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Sobre autores
S. Vostokov
St. Petersburg State University
Autor responsável pela correspondência
Email: sergei.vostokov@gmail.com
Rússia, Universitetskaya nab. 7–9, St. Petersburg, 199034
I. Nekrasov
St. Petersburg State University
Email: sergei.vostokov@gmail.com
Rússia, Universitetskaya nab. 7–9, St. Petersburg, 199034
R. Vostokova
Aff2
Email: sergei.vostokov@gmail.com
Rússia, Pervaya Krasnoarmeiskaya ul. 1, St. Petersburg, 190005