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Artin groups 1braid groups 1coxeter groups 1interval groups 1mapping class groups 1

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math.GR2026

The braid group Bn is not a quotient of a quasi-Coxeter interval group of type Dn

Barbara Baumeister, Luis Paris, Sarah Rees

The paper shows that for n ≥ 5, a certain interval group linked to a quasi‑Coxeter element in the Dₙ Coxeter group cannot map onto the n‑strand braid group, giving a new proof that…