Nilpotent groups and transitive graphs
type: Item
instance of: scholarly article
title: Nilpotent groups and transitive graphs
zbMATH Open document ID: 0611.20025
DOI: 10.1016/0095-8956(88)90078-0
author: Norbert Seifter
published in: Journal of Combinatorial Theory. Series B
publication date: 1988-01-01T00:00:00Z
review text: Let G be a nilpotent group acting transitively on a locally finite, connected graph X with \(\kappa _{\infty}(X)<\infty\). We show that G contains a subgroup \(H\cong {\mathbb{Z}}\) of finite index.
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 3987559
zbMATH Keywords: nilpotent group
zbMATH Keywords: locally finite, connected graph
zbMATH Keywords: subgroup of finite index
MaRDI profile type: Publication
full work available at URL: 0095-8956(88)90078-0
OpenAlex ID: W1970089203
cites work: Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
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cites work: Über unendliche Wege in Graphen
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cites work: Q4102039
cites work: A note on infinite transitive graphs
cites work: On the action of nilpotent and metabelian groups on infinite, locally finite graphs
cites work: An effective bound for groups of linear growth
cites work: GRAPHS WITH POLYNOMIAL GROWTH
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description: scientific article; zbMATH DE number 3987559