Rationality problem for some transitive subgroups of S14

Baoshan Wang; Guoqi Wang

doi:10.1080/00927872.2019.1670191

Rationality problem for some transitive subgroups of S₁₄

Baoshan Wang^*
, Guoqi Wang

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Let G be a transitive subgroup of S₁₄. For any field k, let G act naturally on the rational function field (Formula presented.) via k-automorphisms defined by (Formula presented.) for any (Formula presented.) and (Formula presented.) We will show the rationality of the fixed field (Formula presented.) when G is an extension of an elementary abelian 2-group.

源语言	英语
页（从-至）	917-929
页数	13
期刊	Communications in Algebra
卷	48
期	3
DOI	https://doi.org/10.1080/00927872.2019.1670191
出版状态	已出版 - 3 3月 2020

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10.1080/00927872.2019.1670191

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引用此

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AB - Let G be a transitive subgroup of S14. For any field k, let G act naturally on the rational function field (Formula presented.) via k-automorphisms defined by (Formula presented.) for any (Formula presented.) and (Formula presented.) We will show the rationality of the fixed field (Formula presented.) when G is an extension of an elementary abelian 2-group.

KW - Noether’s problem

KW - Rationality problem

KW - transitive group

UR - https://www.scopus.com/pages/publications/85074363582

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DO - 10.1080/00927872.2019.1670191

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Rationality problem for some transitive subgroups of S14

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Rationality problem for some transitive subgroups of S₁₄