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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 430, Pages 5–12 (Mi znsl6078)  
This article is cited in 1 scientific paper (total in 1 paper)

Classification of formal $A$-modules in the case of small ramification

S. S. Afanas'eva, S. V. Vostokov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (174 kB) Citations (1)
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Abstract: In this paper an explicit classification of formal $A$-modules over the ring of integer of local field up to the strict isomorphism in the case of small ramification is obtained. The canonic representatives in each class of isomorphic formal $A$-modules are described. This results generalizes the classification of $\mathbb Z_p$-modules in small ramification.
Key words and phrases: formal groups, formal modules, multidimensional formal groups.
Received: 10.09.2014
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 219, Issue 3, Pages 337–342
DOI: https://doi.org/10.1007/s10958-016-3108-3
Bibliographic databases:
Document Type: Article
UDC: 512.741
Language: Russian
Citation: S. S. Afanas'eva, S. V. Vostokov, “Classification of formal $A$-modules in the case of small ramification”, Problems in the theory of representations of algebras and groups. Part 27, Zap. Nauchn. Sem. POMI, 430, POMI, St. Petersburg, 2014, 5–12; J. Math. Sci. (N. Y.), 219:3 (2016), 337–342
Citation in format AMSBIB
\Bibitem{AfaVos14}
\by S.~S.~Afanas'eva, S.~V.~Vostokov
\paper Classification of formal $A$-modules in the case of small ramification
\inbook Problems in the theory of representations of algebras and groups. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 430
\pages 5--12
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6078}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3486757}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 219
\issue 3
\pages 337--342
\crossref{https://doi.org/10.1007/s10958-016-3108-3}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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