Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585628 | Journal of Algebra | 2012 | 17 Pages |
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