On the Approximability of Automorphism Groups of Lattices by Automorphism Groups of Totally Ordered Sets
Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 420-427.

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Criteria for the approximability of some classes of automorphism groups of lattices by automorphism groups of totally ordered sets are obtained.
Keywords: automorphism group of a lattice, automorphism group of a totally ordered set, approximability, distributive lattice.
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V. M. Tararin. On the Approximability of Automorphism Groups of Lattices by Automorphism Groups of Totally Ordered Sets. Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 420-427. http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a8/

[1] G. Grettser, Obschaya teoriya reshetok, Mir, M., 1982 | MR | Zbl

[2] V. M. Kopytov, Reshetochno uporyadochennye gruppy, Nauka, M., 1984 | MR | Zbl

[3] P. F. Conrad, “The lattice of all convex $l$-subgroups of a lattice-ordered group”, Czechoslovak Math. J., 15:1 (1965), 101–123 | MR | Zbl