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20172025
most citedInterval Garside Structures for the Complex Braid Groups B(e,e,n)

1 citations · 5 across the 8 of their papers we have counts for

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math.GR2022★ 1 cited

Isomorphism and non-isomorphism for interval groups of type D_n

Barbara Baumeister, Derek F. Holt, Georges Neaime +1

We consider presentations that were derived in \cite{BaumeisterNeaimeRees} for the interval groups associated with proper quasi-Coxeter elements of the Coxeter group . We u…

math.GR2022★ 1 cited

Interval groups related to finite Coxeter groups, Part II

Barbara Baumeister, Derek F. Holt, Georges Neaime +1

We provide a complete description of the presentations of the interval groups related to quasi-Coxeter elements in finite Coxeter groups. In the simply laced cases, we show that ea…

math.GR2021★ 1 cited

Interval groups related to finite Coxeter groups I

Barbara Baumeister, Georges Neaime, Sarah Rees

We derive presentations of the interval groups related to all quasi-Coxeter elements in the Coxeter group of type . Type is the only infinite family of finite Coxeter gr…

math.GR2019

Interval Garside Structures Related to the Affine Artin Groups of Type

Georges Neaime

Garside theory emerged from the study of Artin groups and their generalizations. Finite-type Artin groups admit two types of interval Garside structures corresponding to their stan…

math.GR2017★ 1 cited

Interval Garside Structures for the Complex Braid Groups B(e,e,n)

Georges Neaime

We define geodesic normal forms for the general series of complex reflection groups G(e,e,n). This requires the elaboration of a combinatorial technique in order to explicitly dete…