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- W4292435627 abstract "Let $G leq mathrm{Sym} (X)$ for a countable set $X$. Call a colouring of $X$ asymmetric, if the identity is the only element of $G$ which preserves all colours. The motion (also called minimal degree) of $G$ is the minimal number of elements moved by an element $g in G setminus{mathrm{id}}$. We show that every locally compact, closed permutation group with infinite motion admits an asymmetric $2$-colouring. This generalises a recent result by Babai and confirms a conjecture by Imrich, Smith, Tucker, and Watkins from 2015." @default.
- W4292435627 created "2022-08-20" @default.
- W4292435627 creator A5028836452 @default.
- W4292435627 date "2022-08-18" @default.
- W4292435627 modified "2023-09-27" @default.
- W4292435627 title "Asymmetric colouring of locally compact permutation groups" @default.
- W4292435627 doi "https://doi.org/10.48550/arxiv.2208.08844" @default.
- W4292435627 hasPublicationYear "2022" @default.
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