Geodesic
On~the quotient space modulo the action of a~finite group generated by pseudoreflections
Izvestiya. Mathematics , Tome 24 (1985) no. 1, pp. 99-119.

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It is proved that the quotient $V/G$, where $G$ is a finite group generated by pseudoreflections in a finite-dimensional real space $V$, is homeomorphic to $V$. Bibliography: 12 titles. 
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M. A. Mikhailova. On~the quotient space modulo the action of a~finite group generated by pseudoreflections. Izvestiya. Mathematics , Tome 24 (1985) no. 1, pp. 99-119. http://geodesic.mathdoc.fr/item/IM2_1985_24_1_a3/

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