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

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

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

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	917-929
Number of pages	13
Journal	Communications in Algebra
Volume	48
Issue number	3
DOIs	https://doi.org/10.1080/00927872.2019.1670191
State	Published - 3 Mar 2020

Keywords

Noether’s problem
Rationality problem
transitive group

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10.1080/00927872.2019.1670191

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abstract = "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.",

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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

M3 - 文章

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VL - 48

SP - 917

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JO - Communications in Algebra

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ER -

Rationality problem for some transitive subgroups of S₁₄

Abstract

Keywords

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