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	Invariants of wreath products and subgroups of S-6
	Kang, Ming-chang ; Wang, Baoshan ; Zhou, Jian
	2015
关键词	MONOMIAL GROUP-ACTIONS NOETHERS PROBLEM GENERIC POLYNOMIALS RATIONALITY PROBLEM FINITE-GROUPS
英文摘要	Let G be a subgroup of S-6, the symmetric group of degree 6. For any field k, G acts naturally on the rational function field k(x(1),...,x(6)) via k-automorphisms defined by sigma center dot x(i) = x(sigma(i)) for any sigma is an element of G and any 1 <= i <= 6. We prove the following theorem. The fixed field k(x(1),..., x(6))(G) is rational (i.e., purely transcendental) over k, except possibly when G is isomorphic to PSL2 (F-5), PGL(2) (F-5), or A(6). When G is isomorphic to PSL2 (F-5) or PGL(2) (F-5), then C(x(1),...,x(6))(G) is C-rational and k(x(1),...,x(6))(G) is stably k-rational for any field k. The invariant theory of wreath products will be investigated also.; SCI(E); ARTICLE; kang@math.ntu.edu.tw; bwang@buaa.edu.cn; zhjn@math.pku.edu.cn; 2; 257-279; 55
语种	中文
出处	SCI
出版者	KYOTO JOURNAL OF MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/419697]
专题	数学科学学院
推荐引用方式 GB/T 7714	Kang, Ming-chang,Wang, Baoshan,Zhou, Jian. Invariants of wreath products and subgroups of S-6. 2015-01-01.

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