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Reduced expressions in semidirect products of Coxeter groups

Reduced expressions in semidirect products of Coxeter groups

Any normal reflection subgroup of a Coxeter system (W, S) is a factor in a semidirect product decomposition of W as described by Bonnafé and Dyer. Namely, S is the union of two subsets I and J such that no element of I is conjugate to an element of J, …