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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 513, Pages 57–73
(Mi znsl7229)
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This article is cited in 2 scientific papers (total in 2 papers)
On Inaba extensions for two-dimensional local fields of mixed characteristic
I. B. Zhukov, O. Yu. Ivanova Saint Petersburg State University
Abstract:
The paper is devoted to extensions of higher local fields determined by certain matrix equations introduced by E. Inaba. It is proved that any extension decomposable into a tower of Artin–Schreier extensions can be embedded into an Inaba extension that is a composite of the given extension and another Inaba extension. Next, any $p$-extension with elementary Abelian Galois group can be embedded into an extension with the Galois group isomorphic to a group of unipotent matrices over the field with $p$ elements.
Key words and phrases:
higher local fields, two-dimensional local fields, embedding problem, Inaba equation, Artin-Schreier equation, ramification jump.
Received: 27.10.2022
Citation:
I. B. Zhukov, O. Yu. Ivanova, “On Inaba extensions for two-dimensional local fields of mixed characteristic”, Problems in the theory of representations of algebras and groups. Part 38, Zap. Nauchn. Sem. POMI, 513, POMI, St. Petersburg, 2022, 57–73
Linking options:
https://www.mathnet.ru/eng/znsl7229 https://www.mathnet.ru/eng/znsl/v513/p57
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Abstract page: | 49 | Full-text PDF : | 18 | References: | 7 |
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