The subgroup growth spectrum of virtually free groups

被引：0
|
作者：
Jan-Christoph Schlage-Puchta
机构：
[1] Mathematisches Institut,
来源：
Israel Journal of Mathematics | 2010年 / 177卷
关键词：
Fundamental Group; Symmetric Group; Representation Type; Free Product; Fuchsian Group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For a finitely generated group Γ denote by µ(Γ) the growth coefficient of Γ, that is, the infimum over all real numbers d such that sn(Γ) < n!d. We show that the growth coefficient of a virtually free group is always rational, and that every rational number occurs as growth coefficient of some virtually free group.
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页码：229 / 251
页数：22
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