On p-embedding problems in characteristic p

Lior Bary-Soroker; Nguyêñ Duy Tân

doi:10.1016/j.jpaa.2011.02.012

On p-embedding problems in characteristic p

Lior Bary-Soroker^*, Nguyêñ Duy Tân

^*Corresponding author for this work

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

2 Scopus citations

Abstract

Let K be a valued field of characteristic p>0 with non- p-divisible value group. We show that every finite embedding problem for K whose kernel is a p-group is properly solvable.

Original language	English
Pages (from-to)	2533-2537
Number of pages	5
Journal	Journal of Pure and Applied Algebra
Volume	215
Issue number	10
DOIs	https://doi.org/10.1016/j.jpaa.2011.02.012
State	Published - Oct 2011
Externally published	Yes

Funding

Funders	Funder number
Advanced
National Foundation for Science and Technology Development	SFB/TR45
Seventh Framework Programme	226257
European Research Council

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10.1016/j.jpaa.2011.02.012

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title = "On p-embedding problems in characteristic p",

abstract = "Let K be a valued field of characteristic p>0 with non- p-divisible value group. We show that every finite embedding problem for K whose kernel is a p-group is properly solvable.",

author = "Lior Bary-Soroker and {Duy T{\^a}n}, Nguy{\^e}{\~n}",

note = "Funding Information: We would like to give our sincere thanks to H{\'e}l{\`e}ne Esnault for her support and constant encouragement. The first author is an Alexander von Humboldt fellow in The Institut f{\"u}r Experimentelle Mathematik, Universit{\"a}t Duisburg-Essen. The second author is partially supported by NAFOSTED, SFB/TR45 and the ERC/Advanced Grant 226257.",

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AU - Bary-Soroker, Lior

AU - Duy Tân, Nguyêñ

N1 - Funding Information: We would like to give our sincere thanks to Hélène Esnault for her support and constant encouragement. The first author is an Alexander von Humboldt fellow in The Institut für Experimentelle Mathematik, Universität Duisburg-Essen. The second author is partially supported by NAFOSTED, SFB/TR45 and the ERC/Advanced Grant 226257.

PY - 2011/10

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N2 - Let K be a valued field of characteristic p>0 with non- p-divisible value group. We show that every finite embedding problem for K whose kernel is a p-group is properly solvable.

AB - Let K be a valued field of characteristic p>0 with non- p-divisible value group. We show that every finite embedding problem for K whose kernel is a p-group is properly solvable.

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On p-embedding problems in characteristic p

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