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math.GR2025
Generalized J-groups, J-braid groups and Seifert link groups
Owen Garnier, Igor Haladjian
The family of J-groups was introduced by Achar and Aubert with the goal of providing Coxeter-like combinatorial tools for studying rank 2 complex reflection groups. However, J-grou…
math.GT2025
J-braid groups are torus necklace groups
Igor Haladjian
We construct a family of links we call torus necklaces for which the link groups are precisely the braid groups of generalised -reflection groups. Moreover, this correspondence…