Rationality problem for some transitive subgroups of S14

Let G be a transitive subgroup of S 14 . For any field k, let G act naturally on the rational function field via k-automorphisms defined by for any and We will show the rationality of the fixed field when G is an extension of an elementary abelian 2-group.

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Bibliographic Details
Published inCommunications in algebra Vol. 48; no. 3; pp. 917 - 929
Main Authors Wang, Baoshan, Wang, Guoqi
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.03.2020
Taylor & Francis Ltd
Subjects
Automorphisms
Noether's problem
Primary: 12F20
Rational functions
Rationality problem
Subgroups
transitive group
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Summary:Let G be a transitive subgroup of S 14 . For any field k, let G act naturally on the rational function field via k-automorphisms defined by for any and We will show the rationality of the fixed field when G is an extension of an elementary abelian 2-group.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2019.1670191