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The fundamental group of a locally finite graph with ends

Authors :
Diestel, Reinhard
Sprüssel, Philipp
Publication Year :
2009

Abstract

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) fundamental groups of the finite subgraphs of G.<br />Comment: 38 pages. This is an extended version of the paper "The fundamental group of a locally finite graph with ends" by the same authors. It differs from that paper only in that it offers proofs for Lemmas 2, 4, 6, 7, 8, 9 and 20, and a longer example in Section 5

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0910.5647
Document Type :
Working Paper