Geodesic
Lattice isomorphisms of group pairs
Izvestiya. Mathematics , Tome 3 (1969) no. 2, pp. 375-390.

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Lattice isomorphisms of group pairs are examined. Conditions are cited under which every lattice isomorphism between pairs is induced by two isomorphisms or antiisomorphisms of the pairs. 
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A. S. Pekelis. Lattice isomorphisms of group pairs. Izvestiya. Mathematics , Tome 3 (1969) no. 2, pp. 375-390. http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a4/

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