Properties of graphs with polynomial growth (Q1117947)
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scientific article; zbMATH DE number 4093489
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of graphs with polynomial growth |
scientific article; zbMATH DE number 4093489 |
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Properties of graphs with polynomial growth (English)
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1991
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Let X be a connected locally finite transitive growth. We prove that groups with intermediate growth cannot act transitively on X. Furthermore it follows from this result that the automorphism group AUT(X) is uncountable if and only if it contains a finitely generated subgroup with exponential growth which acts transitively on X. If X has valency at least three, we prove that X cannot be 8-transitive.
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connected locally finite transitive growth
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automorphism group
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