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The elementary Abelian conductor. / Zhukov, I. B.

In: Journal of Mathematical Sciences (United States), Vol. 209, No. 4, 2015, p. 564-567.

Research output: Contribution to journal › Article › peer-review

Harvard

Zhukov, IB 2015, 'The elementary Abelian conductor', Journal of Mathematical Sciences (United States), vol. 209, no. 4, pp. 564-567. https://doi.org/10.1007/s10958-015-2513-3

APA

Zhukov, I. B. (2015). The elementary Abelian conductor. Journal of Mathematical Sciences (United States), 209(4), 564-567. https://doi.org/10.1007/s10958-015-2513-3

Vancouver

Zhukov IB. The elementary Abelian conductor. Journal of Mathematical Sciences (United States). 2015;209(4):564-567. https://doi.org/10.1007/s10958-015-2513-3

Author

Zhukov, I. B. / The elementary Abelian conductor. In: Journal of Mathematical Sciences (United States). 2015 ; Vol. 209, No. 4. pp. 564-567.

BibTeX

@article{c2ad04358cb24ecdadb2e778d0f4401c,
title = "The elementary Abelian conductor",
abstract = "The paper is devoted to ramification theory for a class of complete discrete valuation fields, which includes 2-dimensional local fields of prime characteristic p. It is proved that any finite extension of such a field can be modified into an extension with zero ramification depth by means of an infinite elementary Abelian base change.",
keywords = "Tame, Inductive Assumption, Abelian Extension, Cyclic Extension, Separable Extension",
author = "Zhukov, {I. B.}",
note = "Zhukov, I.B. The Elementary Abelian Conductor. J Math Sci 209, 564–567 (2015). https://doi.org/10.1007/s10958-015-2513-3",
year = "2015",
doi = "10.1007/s10958-015-2513-3",
language = "English",
volume = "209",
pages = "564--567",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - The elementary Abelian conductor

AU - Zhukov, I. B.

N1 - Zhukov, I.B. The Elementary Abelian Conductor. J Math Sci 209, 564–567 (2015). https://doi.org/10.1007/s10958-015-2513-3

PY - 2015

Y1 - 2015

N2 - The paper is devoted to ramification theory for a class of complete discrete valuation fields, which includes 2-dimensional local fields of prime characteristic p. It is proved that any finite extension of such a field can be modified into an extension with zero ramification depth by means of an infinite elementary Abelian base change.

AB - The paper is devoted to ramification theory for a class of complete discrete valuation fields, which includes 2-dimensional local fields of prime characteristic p. It is proved that any finite extension of such a field can be modified into an extension with zero ramification depth by means of an infinite elementary Abelian base change.

KW - Tame

KW - Inductive Assumption

KW - Abelian Extension

KW - Cyclic Extension

KW - Separable Extension

UR - http://www.scopus.com/inward/record.url?scp=84943366449&partnerID=8YFLogxK

U2 - 10.1007/s10958-015-2513-3

DO - 10.1007/s10958-015-2513-3

M3 - Article

AN - SCOPUS:84943366449

VL - 209

SP - 564

EP - 567

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 51971830