Abstract
We show that there are just countably many countable homogeneous semilattices and give an explicit description of them. For the countable universal homogeneous semilattice we show that its automorphism group has a largest proper nontrivial normal subgroup.
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Droste, M., Kuske, D. & Truss, J.K. On Homogeneous Semilattices and Their Automorphism Groups. Order 16, 31–56 (1999). https://doi.org/10.1023/A:1006365012997
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DOI: https://doi.org/10.1023/A:1006365012997