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math.GR2024
Braid groups of J-reflection groups and associated classical and dual Garside structures
Igor Haladjian
The family of -reflection groups can be seen as a combinatorial generalisation of irreducible rank two complex reflection groups and was introduced by the author in a previous a…
math.GR2024
A Combinatorial Generalisation of Rank two Complex Reflection Groups via Generators and Relations
Igor Haladjian
Complex reflection groups of rank two are precisely the finite groups in the family of groups that we call J-reflection groups. These groups are particular cases of J-groups as def…