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Lattices in graphs with polynomial growth

✍ Scribed by András Lukács; Norbert Seifter

Book ID
108316187
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
471 KB
Volume
186
Category
Article
ISSN
0012-365X

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Let X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then there exists a quotient group of Aut(X ) which contains a finitely generated nilpotent subgroup N which has the same growth rate as X . We show that X contains a subgraph which is finitely contractible onto the