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Construction of a cyclic extension of degree $p^2$ of a complete field. / Zhukov, I. ; Lysenko, E. .
в: Journal of Mathematical Sciences, Том 234, № 2, 2018, стр. 148-157.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Construction of a cyclic extension of degree $p^2$ of a complete field
AU - Zhukov, I.
AU - Lysenko, E.
N1 - Zhukov, I., Lysenko, E. Construction of a Cyclic Extension of Degree p2 for a Complete Field. J Math Sci 234, 148–157 (2018). https://doi.org/10.1007/s10958-018-3991-x
PY - 2018
Y1 - 2018
N2 - The aim of the paper is to construct an embedding of a given cyclic extension of degree p of a complete discrete valuation field of characteristic 0 with an arbitrary residue field of characteristic p > 0 into a cyclic extension of degree p2. The result extends the construction obtained by S. V. Vostokov and I. B. Zhukov in terms of Witt vectors, to a wider interval of values for the ramification jump of the original field extension.
AB - The aim of the paper is to construct an embedding of a given cyclic extension of degree p of a complete discrete valuation field of characteristic 0 with an arbitrary residue field of characteristic p > 0 into a cyclic extension of degree p2. The result extends the construction obtained by S. V. Vostokov and I. B. Zhukov in terms of Witt vectors, to a wider interval of values for the ramification jump of the original field extension.
UR - https://link.springer.com/article/10.1007/s10958-018-3991-x
M3 - статья
VL - 234
SP - 148
EP - 157
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 2
ER -
ID: 39154802