Galois groups over rational function fields over skew fields

Gil Alon; François Legrand; Elad Paran

doi:10.5802/crmath.20

Galois groups over rational function fields over skew fields

Gil Alon, François Legrand, Elad Paran

Open University of Israel

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

Abstract

Let H be a skew field of finite dimension over its center k. We solve the Inverse Galois Problem over the field of fractions H(X) of the ring of polynomial functions over H in the variable X, if k contains an ample field.

Original language	English
Pages (from-to)	785-790
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	358
Issue number	7
DOIs	https://doi.org/10.5802/crmath.20
State	Published - 2020

All Science Journal Classification (ASJC) codes

General Mathematics

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10.5802/crmath.20

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title = "Galois groups over rational function fields over skew fields",

abstract = "Let H be a skew field of finite dimension over its center k. We solve the Inverse Galois Problem over the field of fractions H(X) of the ring of polynomial functions over H in the variable X, if k contains an ample field.",

author = "Gil Alon and Fran{\c c}ois Legrand and Elad Paran",

note = "Publisher Copyright: {\textcopyright} Acad{\'e}mie des sciences, Paris and the authors, 2020. Some rights reserved.",

year = "2020",

doi = "10.5802/crmath.20",

language = "الإنجليزيّة",

volume = "358",

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T1 - Galois groups over rational function fields over skew fields

AU - Alon, Gil

AU - Legrand, François

AU - Paran, Elad

N1 - Publisher Copyright: © Académie des sciences, Paris and the authors, 2020. Some rights reserved.

PY - 2020

Y1 - 2020

N2 - Let H be a skew field of finite dimension over its center k. We solve the Inverse Galois Problem over the field of fractions H(X) of the ring of polynomial functions over H in the variable X, if k contains an ample field.

AB - Let H be a skew field of finite dimension over its center k. We solve the Inverse Galois Problem over the field of fractions H(X) of the ring of polynomial functions over H in the variable X, if k contains an ample field.

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U2 - 10.5802/crmath.20

DO - 10.5802/crmath.20

M3 - مقالة

SN - 1631-073X

VL - 358

SP - 785

EP - 790

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 7

ER -

Galois groups over rational function fields over skew fields

Abstract

All Science Journal Classification (ASJC) codes

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