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math.GR2023
On maximal dihedral reflection subgroups and generalized noncrossing partitions
Thomas Gobet
In this note, we give a new proof of a result of Matthew Dyer stating that in an arbitrary Coxeter group , every pair of distinct reflections lie in a unique maximal dihe…
math.GR2016★ 8 cited
On cycle decompositions in Coxeter groups
Thomas Gobet
The aim of this note is to show that the cycle decomposition of elements of the symmetric group admits a quite natural formulation in the framework of dual Coxeter theory, yielding…