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.

引用

页码：229 / 251

页数：22

共 50 条

[21] Stably free modules over virtually free groups
O'Shea, Seamus
ARCHIV DER MATHEMATIK, 2012, 99 (03) : 207 - 215
[22] On the rank of the intersection of free subgroups in virtually free groups
Zakharov, Alexander
JOURNAL OF ALGEBRA, 2014, 418 : 29 - 43
[23] ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS
BENSON, M
ANNALS OF MATHEMATICS STUDIES, 1987, (111): : 185 - 196
[24] Geodesic growth in virtually abelian groups
Bishop, Alex
JOURNAL OF ALGEBRA, 2021, 573 : 760 - 786
[25] Vertex separators, chordality and virtually free groups
Corregidor, Samuel G.
Martinez-Perez, Alvaro
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (02)
[26] Free actions of virtually FC-groups
Martin R. Pettet
Archiv der Mathematik, 2006, 86 : 26 - 30
[27] FINITELY GENERATED GROUPS WITH VIRTUALLY FREE AUTOMORPHISM-GROUPS
PETTET, MR
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1995, 38 : 475 - 484
[28] The generalized conjugacy problem for virtually free groups
Ladra, Manuel
Silva, Pedro V.
FORUM MATHEMATICUM, 2011, 23 (03) : 447 - 482
[29] Virtually free pro-p groups
Wolfgang Herfort
Pavel Zalesskii
Publications mathématiques de l'IHÉS, 2013, 118 : 193 - 211
[30] FIXED POINTS OF ENDOMORPHISMS OF VIRTUALLY FREE GROUPS
Silva, Pedro V.
PACIFIC JOURNAL OF MATHEMATICS, 2013, 263 (01) : 207 - 240

← 1 2 3 4 5 →