By the results of Cannon, Wagreich and Parry, it is known that the growth rate of a cocompact Coxeter group in and is a Salem number. Kerada defined a –Salem number, which is a generalization of Salem numbers. In this paper, we realize infinitely many –Salem numbers as the growth rates of cocompact Coxeter groups in . Our Coxeter polytopes are constructed by successive gluing of Coxeter polytopes, which we call Coxeter dominoes.
"The growth function of Coxeter dominoes and $2$–Salem numbers." Algebr. Geom. Topol. 14 (5) 2721 - 2746, 2014. https://doi.org/10.2140/agt.2014.14.2721