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

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 Added by Sa\\'ul Blanco
 Publication date 2020
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and research's language is English




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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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