Journal of Combinatorial Theory, Series BVolume 45, Issue 3, December 1988, Pages 356-366Nilpotent groups and transitive graphsAuthor links open overlay panelNorbert SeifterShow moreShareCitehttps://doi.org/10.1016/0095-8956(88)90078-0Get rights and contentUnder an Elsevier user licenseopen archiveAbstractLet G be a nilpotent group acting transitively on a locally finite, connected graph X with κ∞(X)<∞. We show that G contains a subgroup H ⋍ Z of finite index.Previous article in issueNext article in issueRecommended articlesCited by (0)Copyright © 1988 Published by Elsevier Inc.