Abstract
This paper deals with symplectic spaces over noncommutative rings of a special type, in which unique division by 2 is impossible. An application of the results obtained is a description of the multiplicative group of certain local fields that play an important role in determining the Galois group of the algebraic closure of extensions of the field of 2-adic numbers.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 114, pp. 131–136, 1982.
In conclusion, the author would like to express his sincere gratitude to A. V. Yakovlev for his interest and assistance with this paper.
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Zel'venskii, I.G. The reduced multiplicative group of a tamely ramified extension of a local field. J Math Sci 27, 2928–2932 (1984). https://doi.org/10.1007/BF01410745
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DOI: https://doi.org/10.1007/BF01410745