Nilpotent groups and transitive graphs (Q1087645)

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scientific article; zbMATH DE number 3987559
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Nilpotent groups and transitive graphs
scientific article; zbMATH DE number 3987559

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    Nilpotent groups and transitive graphs (English)
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    1988
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    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.
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    nilpotent group
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    locally finite, connected graph
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    subgroup of finite index
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