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Our thanks go to the Forschungsinstitut für Mathematik of the ETH, Zürich, which enabled us to do this joint work, and to the referee for his comments on the first version.
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Läuchli, H., Neumann, P.M. On linearly ordered sets and permutation groups of countable degree. Arch Math Logic 27, 189–192 (1988). https://doi.org/10.1007/BF01620766
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DOI: https://doi.org/10.1007/BF01620766