K. Townsend

activity

20192025

most citedClassification of Sylow classes of parabolic and reflection subgroups in unitary reflection groups

2 citations · 2 across the 5 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.GR2022

On $k$ -geodetic graphs and groups

Murray Elder, Adam Piggott, Kane Townsend

We call a graph $k$ -geodetic, for some $k \geq 1$ , if it is connected and between any two vertices there are at most $k$ geodesics. It is shown that any hyperbolic group with a $k$ -…

math.GR2022

Normalizers of Sylow subgroups in finite reflection groups

Kane Douglas Townsend

Let $W$ be a finite reflection group, either real or complex, and $S_{ℓ}$ a Sylow $ℓ$ -subgroup of $W$ . We prove the existence of a semidirect product decomposition of $N_W(S_\e…

On k-geodetic graphs and groups

Normalizers of Sylow subgroups in finite reflection groups

On $k$ -geodetic graphs and groups