Nice Reflection Arrangements

[摘要] The aim of this note is a classification of all nice and all inductively factored reflection arrangements. It turns out that apart from the supersolvable instances only the monomial groups $G(r,r,3)$ for $r \ge 3$ give rise to nice reflection arrangements

[学科分类] 离散数学和组合数学

[关键词] Complex reflection groups;Reflection arrangements;Factored arrangements;Inductively factored arrangements