Article ID Journal Published Year Pages File Type
4585628 Journal of Algebra 2012 17 Pages PDF
Abstract

All simple extensions of the reflection subgroups of a finite complex reflection group G are determined up to conjugacy. As a consequence, it is proved that if the rank of G is n and if G can be generated by n reflections, then for every set R of n reflections which generate G, every subset of R generates a parabolic subgroup of G.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory