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By the results of Cannon, Wagreich and Parry, it is known that the growthrate of a cocompact Coxeter group in 2-dimensional hyperbolic space $H^2$ and3-dimensional hyperbolic space $H^3$ is a Salem number. Kerada defined aj-Salem number, which is a generalization of a Salem number. In this paper, werealize infinitely many 2-Salem numbers as the growth rates of cocompactCoxeter groups in 4-dimensional hyperbolic space $H ^4$. Our Coxeter polytopesare constructed by successive gluing of Coxeter polytopes which we call Coxeterdominoes.

Growth rates of cocompact hyperbolic Coxeter groups and 2-Salem numbers