36 citations · 46 across the 7 of their papers we have counts for
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math.GR2017
Elementary equivalence in Artin groups of finite type
Arpan Kabiraj, T. V. H. Prathamesh, Rishi Vyas
Irreducible Artin groups of finite type can be parametrized via their associated Coxeter diagrams into six sporadic examples and four infinite families, each of which is further pa…
math.GR2016★ 2 cited
Torsion, torsion length and finitely presented groups
Maurice Chiodo, Rishi Vyas
We show that a construction by Aanderaa and Cohen used in their proof of the Higman Embedding Theorem preserves torsion length. We give a new construction showing that every finite…
math.GR2013★ 3 cited
A note on torsion length
Maurice Chiodo, Rishi Vyas
We construct a 2-generator recursively presented group with infinite torsion length. We also explore the construction in the context of solvable and word-hyperbolic groups.