Ring of invariants of finite subgroup of $GL_2(\mathbb{C})$ - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T19:52:30Z http://mathoverflow.net/feeds/question/58190 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/58190/ring-of-invariants-of-finite-subgroup-of-gl-2-mathbbc Ring of invariants of finite subgroup of $GL_2(\mathbb{C})$ Anjan Gupta 2011-03-11T19:12:35Z 2011-03-11T20:31:31Z <p>In the paper 'FINITE LINEAR GROUPS WHOSE RING OF INVARIANTS IS A COMPLETE INTERSECTION' by VICTOR KAC AND KEI-ICHI WATANABE published in BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 6, Number 2, March 1982, it is said in remark 2 of page no 222 that for any finite subgroup $G$ of $GL_2(\mathbb{C})$ the ring of invariance $\mathbb{C}[X_1, X_2]^G$ is always a complete itersection ring without any reference. Can anyone kindly tell me a reference for this result? Thanking you.</p>