The fundamental group of a locally finite graph with ends

被引：10

作者：

Diestel, Reinhard ^{[1
]}

Spruessel, Philipp ^{[1
]}

机构：

[1] Univ Hamburg, Math Seminar, D-20146 Hamburg, Germany

来源：

ADVANCES IN MATHEMATICS | 2011年 / 226卷 / 03期

关键词：

Fundamental group; Infinite words; Infinite graphs; Ends of graphs; Freudenthal compactification; Topological cycle space; SPANNING-TREES; CYCLES;

D O I：

10.1016/j.aim.2010.09.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the fundamental group of a locally finite graph G with ends combinatorially, as a group of infinite words. Our characterization gives rise to a canonical embedding of this group in the inverse limit of the free groups pi(1) (G`) with G` subset of G finite. (c) 2010 R. Diestel. Published by Elsevier Inc. All rights reserved.

引用

页码：2643 / 2675

页数：33

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