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Stabilizers in Coxeter groups with a transpositional action
We study simply-laced Coxeter groups whose Coxeter diagram is the line graph $\mathcal{L}Γ$ of some simple graph $Γ$; such groups act on the set of vertices of the graph by transpositions. Our goal is to describe the point stabilizer of this action in detail. For any tree $Σ$, we show that the stabi
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