User ibazhov - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T07:56:55Z http://mathoverflow.net/feeds/user/19436 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/81540/when-two-singularities-mathbb-cn-g-and-mathbb-cn-g-are-the-same When two singularities $\mathbb C^n/G$ and $\mathbb C^n/G'$ are the same? IBazhov 2011-11-21T19:02:47Z 2011-11-22T12:12:57Z <p>Let us consider two singularities $\mathbb C^n/G$ and $\mathbb C^n/G'$, where $G$ and $G'$ are finite subgroups of $\mathrm{GL}(n,\mathbb{C})$ acting linearly. </p> <p>It is easy too see, that a different groups may give the same singularities. For example, $G'=G/\langle g\rangle$, where $\langle g\rangle$ is a subgroup of $G$ generated by a reflection $g$.</p> <blockquote> <p>Which groups $G$ and $G'$ give the same singularity?</p> </blockquote>