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• W2016137037 abstract "We obtain new presentations for the imprimitive complex reflection groups of type (de,e,r) and their braid groups B(de,e,r) for d,r≥2. Diagrams for these presentations are proposed. The presentations have much in common with Coxeter presentations of real reflection groups. They are positive and homogeneous, and give rise to quasi-Garside structures. Diagram automorphisms correspond to group automorphisms. The new presentation shows how the braid group B(de,e,r) is a semidirect product of the braid group of affine type A˜r−1 and an infinite cyclic group. Elements of B(de,e,r) are visualised as geometric braids on r+1 strings whose first string is pure and whose winding number is a multiple of e. We classify periodic elements, and show that the roots are unique up to conjugacy and that the braid group B(de,e,r) is strongly translation discrete." @default.
• W2016137037 created "2016-06-24" @default.
• W2016137037 creator A5041404987 @default.
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• W2016137037 date "2015-04-01" @default.
• W2016137037 modified "2023-10-15" @default.
• W2016137037 title "Braid groups of imprimitive complex reflection groups" @default.
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• W2016137037 doi "https://doi.org/10.1016/j.jalgebra.2015.01.004" @default.
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