#### Volume 14, issue 5 (2014)

The growth function of Coxeter dominoes and $2$–Salem numbers
 1 M J Bertin, A Decomps-Guilloux, M Grandet-Hugot, M Pathiaux-Delefosse, J P Schreiber, Pisot and Salem numbers, Birkhäuser (1992) MR1187044 2 J W Cannon, P Wagreich, Growth functions of surface groups, Math. Ann. 293 (1992) 239 MR1166120 3 R Charney, M Davis, Reciprocity of growth functions of Coxeter groups, Geom. Dedicata 39 (1991) 373 MR1123152 4 H S M Coxeter, Discrete groups generated by reflections, Ann. of Math. 35 (1934) 588 MR1503182 5 E Ghate, E Hironaka, The arithmetic and geometry of Salem numbers, Bull. Amer. Math. Soc. 38 (2001) 293 MR1824892 6 J E Humphreys, Reflection groups and Coxeter groups, Cambridge Studies Adv. Math. 29, Cambridge Univ. Press (1990) MR1066460 7 R Kellerhals, G Perren, On the growth of cocompact hyperbolic Coxeter groups, European J. Combin. 32 (2011) 1299 MR2838016 8 A J Kempner, On the complex roots of algebraic equations, Bull. Amer. Math. Soc. 41 (1935) 809 MR1563200 9 M Kerada, Une caractérisation de certaines classes d'entiers algébriques généralisant les nombres de Salem, Acta Arith. 72 (1995) 55 MR1346805 10 F Lannér, On complexes with transitive groups of automorphisms, Comm. Sém., Math. Univ. Lund 11 (1950) 71 MR0042129 11 D H Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933) 461 MR1503118 12 F Luo, On a problem of Fenchel, Geom. Dedicata 64 (1997) 277 MR1440561 13 V S Makarov, The Fedorov groups of four-dimensional and five-dimensional Lobačevskiĭspace, from: "Studies in general algebra" (editor V D Belousov), Kišinev. Gos. Univ., Kishinev (1968) 120 MR0259735 14 M R Murty, Prime numbers and irreducible polynomials, Amer. Math. Monthly 109 (2002) 452 MR1901498 15 W Parry, Growth series of Coxeter groups and Salem numbers, J. Algebra 154 (1993) 406 MR1206129 16 J G Ratcliffe, Foundations of hyperbolic manifolds, Graduate Texts in Mathematics 149, Springer (1994) MR1299730 17 P A Samet, Algebraic integers with two conjugates outside the unit circle, Proc. Cambridge Philos. Soc. 49 (1953) 421 MR0056030 18 I Satake, Linear algebra, Pure and Applied Mathematics 29, Marcel Dekker (1975) MR0401789 19 L Schlettwein, Hyperbolische simplexe, Diplomarbeit, Universität Basel (1995) 20 J P Serre, Cohomologie des groupes discrets, from: "Prospects in mathematics", Ann. of Math. Studies 70, Princeton Univ. Press (1971) 77 MR0385006 21 L Solomon, The orders of the finite Chevalley groups, J. Algebra 3 (1966) 376 MR0199275 22 R Steinberg, Endomorphisms of linear algebraic groups, Memoirs of the AMS 80, Amer. Math. Soc. (1968) 108 MR0230728 23 È B Vinberg, Hyperbolic groups of reflections, Uspekhi Mat. Nauk 40 (1985) 29, 255 MR783604 24 R L Worthington, The growth series of compact hyperbolic Coxeter groups with $4$ and $5$ generators, Canad. Math. Bull. 41 (1998) 231 MR1624278 25 T Zehrt, C Zehrt-Liebendörfer, The growth function of Coxeter garlands in $\mathbb{H}^4$, Beitr. Algebra Geom. 53 (2012) 451 MR2971753