On number of ends of graph products of groups

被引：2

作者：

Varghese, Olga ^{[1
]}

机构：

[1] Munster Univ, Dept Math, Einsteinstr 62, D-48149 Munster, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 06期

关键词：

Graph products of groups; number of ends; quasi-isometric invariants; Primary;

D O I：

10.1080/00927872.2020.1714637

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a finite simplicial graph with a vertex-labeling the graph product is the free product of the vertex groups with added relations that imply elements of adjacent vertex groups commute. For a quasi-isometric invariant we are interested in understanding under which combinatorial conditions on the graph Gamma the graph product has property In this article, our emphasis is on number of ends of a graph product In particular, we obtain a complete characterization of number of ends of a graph product of finitely generated groups.

引用

页码：2418 / 2427

页数：10

共 14 条

[1]

[Anonymous], 1990, THESIS U LEEDS

[2]

[Anonymous], 2008, London Mathematical Society Monographs Series

[3] SUBGROUPS OF SEMIFREE GROUPS [J].

BAUDISCH, A .

ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1981, 38 (1-4) :19-28

[4] ON GROUPS ACTING ON LOCALLY FINITE GRAPHS [J].

BERGMAN, GM .

ANNALS OF MATHEMATICS, 1968, 88 (02) :335-&

[5]

Bridson MR, 1999, Metric spaces of non-positive curvature, V319, DOI [DOI 10.1007/978-3-662-12494-9, 10.1007/978-3-662-12494-9]

[6]

Hopf H., 1944, Comment. Math. Helv, V16, P81, DOI DOI 10.1007/BF02568567

[7] When is a graph product of groups virtually-free? [J].

Lohrey, Markus ;

Senizergues, Geraud .

COMMUNICATIONS IN ALGEBRA, 2007, 35 (02) :617-621

[8]

Meier J, 1996, GEOMETRIAE DEDICATA, V61, P29

[9]

Mihalik M, 2009, GROUP GEOM DYNAM, V3, P173

[10]

SERRE JP, 2003, SPRINGER MG MATH, pR7

← 1 2 →