paper

Virtual inheritance properties of graph products

arXiv:2606.14148

Abstract

We prove that many virtual properties are closed under taking graph products, including: virtually RFRS, virtually (compact) special, virtually CAT(0) cube, and virtually normally poly-free. Our proof uses Januszkiewicz and ŚwiÄ tkowski's strong commensurability theorem for graph products, for which we provide an elementary proof.

13 pages. Comments are welcome! v2: Updated references and a few small changes