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.?As a consequence of this and of the classification of all inductively free reflection arrangements from Hoge and R?hrle (2015)?we deduce that the class of all inductively factored reflection arrangements coincides with the class of all?supersolvable reflection arrangements. Moreover, we extend these classifications to hereditarily factored and hereditarily inductively factored reflection arrangements.
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机译：本注释的目的是对所有精细和所有归因分解的反射排列进行分类。事实证明，除了超可解实例之外，仅$ r ge的单项式组$ G（r，r，3）$ 3 $产生了很好的反射排列。基于此以及Hoge和R？hrle（2015）对所有感应自由反射排列的分类，我们推断出所有归因分解反射排列的类别都与该类别重合。所有的超解算反射安排。此外，我们将这些分类扩展到遗传因素和遗传因素的反射排列。
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