Simple extensions of reflection subgroups of primitive complex reflection groups
| Autor: | Taylor, D. E. |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | J. Algebra 366 (2012) 218--234 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2012.04.033 |
| Popis: | If $G$ is a finite primitive complex reflection group, all reflection subgroups of $G$ and their inclusions are determined up to conjugacy. As a consequence, it is shown 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 $G$. Comment: 17 pages, 20 tables |
| Databáze: | arXiv |
| Externí odkaz: |
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