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Presentations of Coxeter groups of type $A$, $B$, and $D$ using prefix-reversal generators

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 نشر من قبل Sa\\'ul Blanco
 تاريخ النشر 2020
  مجال البحث
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Here we provide three new presentations of Coxeter groups type $A$, $B$, and $D$ using prefix reversals (pancake flips) as generators. We prove these presentations are of their respective groups by using Tietze transformations on the presentations to recover the well known presentations with generators that are adjacent transpositions.



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