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Daniel Sebald
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Coxeter subgroups of Coxeter groups vs Artin subgroups of Artin groups

Given two Coxeter groups $W(\Gamma)$ and $W(\gamma)$ of equal rank and their Artin groups $A(\Gamma)$ and $A(\gamma)$, is $W(\Gamma)\supset W(\gamma)$ equivalent to $A(\Gamma)\supset A(\gamma)$?

Daniel Sebald
  • 2.8k
  • 6
  • 19