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. 
@article{IM2_1969_3_2_a4,
     author = {A. S. Pekelis},
     title = {Lattice isomorphisms of group pairs},
     journal = {Izvestiya. Mathematics },
     pages = {375--390},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {1969},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a4/}
}
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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/