Graph products of cyclic groups and Coxeter groups are two families of groups that are defined by labelled graphs. The family of Dyer groups contains these both families and gives us a framework to study these groups in a unified way. This paper focuses on the spherical growth series of a Dyer group D with respect to the standard generating set. We give a recursive formula for the spherical growth series of D in terms of the spherical growth series of standard parabolic subgroups. As an application we obtain the rationality of the spherical growth series of a Dyer group. Furthermore, we show that the spherical growth series of D is closely related to the Euler characteristic of D.

循环群和 Coxeter 群的图积是由标记图定义的两个群族。戴尔群家族包含了这两个群，并为我们提供了一个以统一方式研究这些群的框架。本文重点研究 Dyer 群D相对于标准生成集的球形增长级数。我们根据标准抛物线子群的球形增长级数给出了D的球形增长级数的递归公式。作为应用，我们得到了 Dyer 群球形增长级数的合理性。此外，我们表明D的球形生长级数与D的欧拉特性密切相关。