Journal of Mathematical Sciences

, Volume 192, Issue 2, pp 127–136 | Cite as

Norm series for higher-dimensional formal Honda groups

  • S. S. Afanas’eva

In the present paper, norm series for higher-dimensional Honda formal groups are studied. The norm series satisfying the generalized Steinberg relation with respect to the norm residue symbol are considered for Honda groups over higher-dimensional local fields. Necessary and sufficient conditions for a series to be a norm series are obtained. Bibliography: 6 titles.


Formal Group Norm Series Local Field Norm Residue Residue Symbol 
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    S. V. Vostokov and G. K. Pak, “Norm series in a higher-dimensional local field,” Zap. Nauchn. Semin. POMI, 305, 60–83 (2003).Google Scholar
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.St.Petersburg State UniversitySt.PetersburgRussia

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