تقرير
Normalisers of parabolic subgroups in finite unitary reflection groups
| العنوان: | Normalisers of parabolic subgroups in finite unitary reflection groups |
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| المؤلفون: | Krishnasamy, Muraleedaran, Taylor, D. E. |
| المصدر: | J. Algebra 504 (2018) 479--505 |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20F55 |
| الوصف: | It is well known that the normaliser of a parabolic subgroup of a finite Coxeter group is the semidirect product of the parabolic subgroup by the stabiliser of a set of simple roots. We show that a similar result holds for all finite unitary reflection groups: namely, the normaliser of a parabolic subgroup is a semidirect product and in many, but not all, cases the complement can be obtained as the stabiliser of a set of roots. In addition we record when the complement acts as a reflection group on the space of fixed points of the parabolic subgroup. Comment: 23 pages, 14 tables |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2018.02.026 |
| URL الوصول: | http://arxiv.org/abs/1712.09563 |
| رقم الأكسشن: | edsarx.1712.09563 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.jalgebra.2018.02.026 |
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