Geodesic
Lattice universality of locally finite $p$-groups
Ural mathematical journal, Tome 9 (2023) no. 1, pp. 127-134

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For an arbitrary prime $p$, we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite $p$-group. In particular, every lattice is embeddable in the subgroup lattice of a locally finite $p$-group.
Keywords: subgroup lattice, algebraic lattice, complete sublattice, lattice-universal class of algebras, locally finite $p$-group
Mots-clés : group valuation. 
@article{UMJ_2023_9_1_a10,
     author = {Vladimir B. Repnitskii},
     title = {Lattice universality of locally finite $p$-groups},
     journal = {Ural mathematical journal},
     pages = {127--134},
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     number = {1},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2023_9_1_a10/}
}
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Vladimir B. Repnitskii. Lattice universality of locally finite $p$-groups. Ural mathematical journal, Tome 9 (2023) no. 1, pp. 127-134. http://geodesic.mathdoc.fr/item/UMJ_2023_9_1_a10/