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Supplementary Note on 'Rational Invariants of Certain Orthogonal and Unitary Groups'

Supplementary Note on 'Rational Invariants of Certain Orthogonal and Unitary Groups'

Given a field k and a finite group G acting on the rational function field k(X1, …, Xn) as a group of k-automorphisms, an important Noether's problem asks whether the invariant subfield [forumal] is purely transcendental over k. 1991 Mathematics Subject Classification 12F20, 20G40.