Geodesic
Lattice isomorphisms of group pairs
Izvestiya. Mathematics, Tome 3 (1969) no. 2, pp. 375-390 
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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     author = {A. S. Pekelis},
     title = {Lattice isomorphisms of group pairs},
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     volume = {3},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Plotkin B. I., Gruppy avtomorfizmov algebraicheskikh sistem, Nauka, M., 1966 | MR | Zbl

[2] Kontorovich P. G., Plotkin B. I., “Struktury s additivnym bazisom”, Matem. sb., 35(77) (1954), 187–192 | MR | Zbl

[3] Sadovskii L. E., “Proektirovaniya i izomorfizmy nilpotentnykh grupp”, Izv. AN SSSR, 29 (1965), 171–208 | MR | Zbl

[4] Baer R., “The significance of the system of subgroups for the structure of the group”, Amer. S. Math., 61 (1939), 1–44 | MR | Zbl

[5] Pekelis A. S., “O strukturnykh izomorfizmakh razreshimykh grupp”, Dokl. AN SSSR, 133:2 (1960), 281–283 | MR | Zbl

[6] Plotkin B. I., “Radikalnye i poluprostye gruppy”, Tr. Mosk. Matem. ob-va, 6 (1957), 299–336 | MR | Zbl

[7] Pekelis A. S., “Strukturnye izomorfizmy lokalno nilpotentnykh grupp bez krucheniya”, Uspekhi matem. nauk, XVIII:3 (1963), 187–190 | MR