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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, Volume 7, Issue 4, Pages 588–596
DOI: https://doi.org/10.21638/spbu01.2020.402 (Mi vspua148) 		 
This article is cited in 1 scientific paper (total in 1 paper)

ON THE ANNIVERSARY OF S. V. VOSTOKOV

Regular formal modules in local fields and irregularly degree

N. K. Vlaskinaa, S. V. Vostokova, P. N. Pitala, A. E. Tsybyshevb

a St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, 27, nab. r. Fontanki, St. Petersburg, 191029, Russian Federation
Full-text PDF (319 kB) Citations (1)
DOI: https://doi.org/10.21638/spbu01.2020.402
Abstract: In this paper we investigate the irregular degree of finite not ramified local field extantions with respect to a polynomial formal group and in the multiplicative case. There was found necessary and sufficient conditions for the existence of primitive roots of $p^s$ power from $1$ and (endomorphism $[p^s]F_m$) in $L$-th unramified extension of the local field $K$ (for all positive integer $s$). These conditions depend only on the ramification index of the maximal abelian subextension of the field $K$ $K_a/Q_p$.
Keywords: regular formal modules, formal modules, formal groups, local fields.
Funding agency Grant number
Russian Science Foundation 16-11-10200
Research is supported by the Russian Science Foundation (grant no. 16-11-10200).
Received: 15.05.2020
Revised: 17.07.2020
Accepted: 18.07.2020
English version:
Vestnik St. Petersburg University, Mathematics, 2020, Volume 7, Issue 4, Pages 398–403
DOI: https://doi.org/10.1134/S106345412004010X
Document Type: Article
UDC: 512.741
MSC: 11S31
Language: Russian
Citation: N. K. Vlaskina, S. V. Vostokov, P. N. Pital, A. E. Tsybyshev, “Regular formal modules in local fields and irregularly degree”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:4 (2020), 588–596; Vestn. St. Petersbg. Univ., Math., 7:4 (2020), 398–403
Citation in format AMSBIB
\Bibitem{VlaVosPit20}
\by N.~K.~Vlaskina, S.~V.~Vostokov, P.~N.~Pital, A.~E.~Tsybyshev
\paper Regular formal modules in local fields and irregularly degree
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2020
\vol 7
\issue 4
\pages 588--596
\mathnet{http://mi.mathnet.ru/vspua148}
\crossref{https://doi.org/10.21638/spbu01.2020.402}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2020
\vol 7
\issue 4
\pages 398--403
\crossref{https://doi.org/10.1134/S106345412004010X}
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    • This publication is cited in the following 1 articles:
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