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GRAPH PRODUCTS AND CANNON PAIRS
https://doi.org/10.1142/S021819670200122XCited by:14 (Source: Crossref)
Abstract
A pair (G, A) consisting of a group G and a finite generating set A is a Cannon pair if the language of all geodesics in the associated Cayley graph is regular. We prove that the Cannon pair property is preserved by graph products and indicate applications of this result to the geodesic and spherical growth series of graph products.
This work was primarily completed during the Summer of 2000 in the Lafayette College REU, NSF Grant DMS-9912325.
AMSC: Primary 20F65, Secondary 20F10
