Geodesic
Polyhedral Products, Graph Products, and $p$-Central Series
Informatics and Automation, Topology, Geometry, Combinatorics, and Mathematical Physics, Tome 326 (2024), pp. 293-310 Cet article a éte moissonné depuis la source Math-Net.Ru

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We relate polyhedral products of topological spaces to graph products of groups. The loop homology algebras of polyhedral products are identified with the universal enveloping algebras of the Lie algebras associated with central series of graph products. As an application, we describe the restricted Lie algebra associated with the lower $2$-central series of a right-angled Coxeter group and identify its universal enveloping algebra with the loop homology of the Davis–Januszkiewicz space.
Keywords: polyhedral product, graph product, right-angled Coxeter group, central series, restricted Lie algebra, loop homology. 
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Taras E. Panov; Temurbek A. Rahmatullaev. Polyhedral Products, Graph Products, and $p$-Central Series. Informatics and Automation, Topology, Geometry, Combinatorics, and Mathematical Physics, Tome 326 (2024), pp. 293-310. http://geodesic.mathdoc.fr/item/TRSPY_2024_326_a11/

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