Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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E. M. Barquinero - L. Ruffoni - K. Ye

Graphical splittings of Artin kernels

created by ruffoni on 24 Mar 2021
modified on 01 Jun 2022


Published Paper

Inserted: 24 mar 2021
Last Updated: 1 jun 2022

Journal: Journal of Group Theory
Year: 2020

ArXiv: 2004.13206 PDF


We study Artin kernels, i.e. kernels of discrete characters of right-angled Artin groups, and we show that they decompose as graphs of groups in a way that can be explicitly computed from the underlying graph. When the underlying graph is chordal we show that every such subgroup either surjects to an infinitely generated free group or is a generalized Baumslag-Solitar group of variable rank. In particular for block graphs (e.g. trees), we obtain an explicit rank formula, and discuss some features of the space of fibrations of the associated right-angled Artin group.

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