Algebraic and Geometric Topology 1 (2001), paper no. 30, pages 587-603.

Commensurability of graph products

Tadeusz Januszkiewicz Jacek Swiatkowski

Abstract. We define graph products of families of pairs of groups and study the question when two such graph products are commensurable. As an application we prove linearity of certain graph products.

Keywords. Graph products, commensurability

AMS subject classification. Primary: 20F65. Secondary: 57M07.

DOI: 10.2140/agt.2001.1.587

E-print: arXiv:math.GR/0111239

Submitted: 7 April 2001. (Revised: 17 October 2001.) Accepted: 22 October 2001. Published: 26 October 2001.

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Tadeusz Januszkiewicz Jacek Swiatkowski
Instytut Matematyczny Uniwersytetu Wroclawskiego
(TJ: and IM PAN)
pl. Grunwaldzki 2/4; 50-384 Wroclaw, Poland
Email: tjan@math.uni.wroc.pl, swiatkow@math.uni.wroc.pl

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