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• W4311622045 abstract "If $G$ is a group and $S$ a generating set, $G$ canonically embeds into the automorphism group of its Cayley graph and it is natural to try to minimize, over all generating sets, the index of this inclusion. This infimum is called the Cayley index of the group. In a recent series of works, we have characterized the infinite finitely generated groups with Cayley index $1$. We complement this characterization by showing that the Cayley index is $2$ in the remaining cases and is attained for a finite generating set." @default.
• W4311622045 created "2022-12-27" @default.
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• W4311622045 date "2021-05-05" @default.
• W4311622045 modified "2023-09-25" @default.
• W4311622045 title "Most rigid representation and Cayley index of finitely generated groups" @default.
• W4311622045 doi "https://doi.org/10.48550/arxiv.2105.02326" @default.
• W4311622045 hasPublicationYear "2021" @default.
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