The reduced multiplicative group of a tamely ramified extension of a local field
Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 131-136
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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.
@article{ZNSL_1982_114_a10,
author = {I. G. Zel'venskii},
title = {The reduced multiplicative group of a tamely ramified extension of a local field},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {131--136},
year = {1982},
volume = {114},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a10/}
}
I. G. Zel'venskii. The reduced multiplicative group of a tamely ramified extension of a local field. Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 131-136. http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a10/