Abstract
We prove that a topological Abelian locally compact group with generalized minimality condition for closed subgroups is a group of one of the following types: 1) a group with minimality condition for closed subgroups, 2) an additive group of theJ p -ring of integerp-adic numbers, 3) an additive groupR p of the field ofp-adic numbers (p is a prime number).
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References
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Additional information
Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 398–409, March, 1999.
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Charin, V.S. On the theory of groups with generalized minimality condition for closed subgroups. Ukr Math J 51, 444–454 (1999). https://doi.org/10.1007/BF02592481
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DOI: https://doi.org/10.1007/BF02592481