New York Journal of Mathematics
Volume 22 (2016) 637-651


Kim Ruane and Stefan Witzel

CAT(0) cubical complexes for graph products of finitely generated abelian groups

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Published: July 15, 2016
Keywords: Graph products, cubical complexes
Subject: 20F65, 57M07

We construct for every graph product of finitely generated abelian groups a CAT(0) cubical complex on which it acts properly and cocompactly. The complex generalizes (up to subdivision) the Salvetti complex of a right-angled Artin group and the Coxeter complex of a right-angled Coxeter group.


The second author was supported by the DFG project WI 4079/2, the SFB 878 in M√ľnster, the SFB 701 in Biefeleld, and the DAAD.

Author information

Kim Ruane:
Department of Mathematics, Tufts University, 503 Boston Ave, Medford MA 02155, USA

Stefan Witzel:
Faculty of Mathematics, Bielefeld University, Postfach 100131, 33501 Bielefeld, Germany