Abstract
It is proved that every isomorphism between any two subgroups of a group G retaining the height of the elements in G is extended to an automorphism of the group itself in the class of abelian p-groups without elements of infinite height if and only if G is a closed group with finite Ulam invariants.
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Translated from Matematicheskie Zametki, Vol. 14, No. 4, pp. 543–548, October, 1973.
The author is grateful to I. Kh. Bekker for aid and supervision in performing this research.
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Krylov, P.A. Extension of isomorphisms in abelian p-groups. Mathematical Notes of the Academy of Sciences of the USSR 14, 870–872 (1973). https://doi.org/10.1007/BF01108816
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DOI: https://doi.org/10.1007/BF01108816