Thomas Gobet

most citedOn cycle decompositions in Coxeter groups

8 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.RT2023

Elements of minimal length and Bruhat order on fixed point cosets of Coxeter groups

Nathan Chapelier-Laget, Thomas Gobet

We study the restriction of the strong Bruhat order on an arbitrary Coxeter group $W$ to cosets $x W_{L}^{θ}$ , where $x$ is an element of $W$ and $W_{L}^{θ}$ the subgroup of fixed points o…

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 $W$ , every pair $t, t^{'}$ 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…