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On conditions of distributivity for noncompact groups

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Ukrainian Mathematical Journal Aims and scope

Abstract

One gives the structure of a locally compact pro-solvable group, the set of noncompact subgroups of which forms a distributive lattice.

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Literature cited

  1. Yu. N. Mukhin, “Locally compact groups with a distributive lattice of closed subgroups,” Sib. Mat. Zh.,8, No. 2, 366–374 (1967).

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  2. V. M. Poletskikh, “On topological groups that are close to groups of rank one,” Ukr. Mat. Zh.,28, No. 6, 772–781 (1976).

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  3. G. F. Bachurin, “On groups with ascending central series,” Mat. Sb.,45 (87), No. 1, 105–112 (1958).

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Authors and Affiliations

  1. Kiev University, USSR

    V. M. Poletskikh & S. S. Shestakov

Authors
  1. V. M. Poletskikh
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  2. S. S. Shestakov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, Nos. 7 and 8, pp. 1108–1111, July–August, 1991.

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Poletskikh, V.M., Shestakov, S.S. On conditions of distributivity for noncompact groups. Ukr Math J 43, 1040–1043 (1991). https://doi.org/10.1007/BF01058718

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  • DOI: https://doi.org/10.1007/BF01058718

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