Publication: Geodesic Growth of some 3-dimensional RACGs
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2021
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Abstract
We give explicit formulas for the geodesic growth series of a Right Angled Coxeter Group (RACG) based on a link-regular graph that is 4-clique free, i.e. without tetrahedrons.
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[1] Yago Antolín and Laura Ciobanu. Geodesic growth in right-angled and even coxeter groups. European Journal of Combinatorics, 34(5):859–874, 2013.
[2] Jayadev S Athreya and Amritanshu Prasad. Growth in right-angled groups and monoids. arXiv preprint arXiv:1409.4142, 2014.
[3] Anders Björner and Francesco Brenti. Combinatorics of Coxeter groups, volume 231 of Graduate Texts in Mathematics. Springer, New York, 2005.
[4] Brigitte Brink and Robert B. Howlett. A finiteness property and an automatic structure for Coxeter groups. Math. Ann., 296(1):179–190, 1993.
[5] Laura Ciobanu and Alexander Kolpakov. Geodesic growth of right-angled Coxeter groups based on trees. J. Algebraic Combin., 44(2):249–264, 2016.
[6] Michael W. Davis. The geometry and topology of Coxeter groups, volume 32 of London Mathematical Society Monographs Series. Princeton University Press, Princeton, NJ, 2008.
[7] Carl Droms and Herman Servatius. The cayley graphs of coxeter and artin groups. Proceedings of the American Mathematical Society, 118(3):693–698, 1993.
[8] Alexander Kolpakov and Alexey Talambutsa. Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers. Discrete Math., 343(3):111763, 8, 2020.
[9] Joseph Loeffler, John Meier, and James Worthington. Graph products and Cannon pairs. Internat. J. Algebra Comput., 12(6):747–754, 2002.
[10] Luis Paris. Growth series of Coxeter groups. In Group theory from a geometrical viewpoint (Trieste, 1990), pages 302–310. World Sci. Publ., River Edge, NJ, 1991.
[11] Robert Steinberg. Endomorphisms of linear algebraic groups. Memoirs of the American Mathematical Society, No. 80. American Mathematical Society, Providence, R.I., 1968.