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Locally compact groups with complementary closed subgroups

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Abstract

Topological groups with complementary closed abelian subgroups and with complementary monothetic subgroups are considered.

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Literature cited

  1. A. Weil, Integration in Topological Groups and its Applications [Russian translation], Moscow (1950).

  2. V. M. Glushkov, “Locally nilpotent and locally bicompact groups,” Trudy Mosk. Mat. Obshch.,4, 291–332 (1955).

    Google Scholar 

  3. Yu. M. Gorchakov, “Primitively factorable groups,” Uch. Zap. Permskogo Univ.,17, No. 2, 15–31 (1960).

    Google Scholar 

  4. V. P. Platonov, “Periodic and compact subgroups of topological groups,” Sibirsk. Mat. Zh.,7, No. 4, 856–879 (1966).

    Google Scholar 

  5. L. S. Pontryagin, Topological Groups [Russian translation], Moscow (1954).

  6. V. S. Charin, “Groups with complemented subgroups,” Dokl. Akad. Nauk SSSR,173, No. 1, 51–54 (1967).

    Google Scholar 

  7. S. N. Chernikov, “Groups with systems of complemented subgroups,” Mat. Sb.,35, No. 1, 93–128 (1954).

    Google Scholar 

  8. N. V. Chernikova, “Groups with complemented subgroups,” Mat. Sb.,39, No. 3, 273–293 (1956).

    Google Scholar 

  9. P. Hall, “Complemented groups,” J. London Math. Soc.,12, 201–204 (1937).

    Google Scholar 

  10. E. D. Bolker, “Inverse limits of solvable groups,” Proc. Amer. Math. Soc.,14, No. 1, 147–152 (1963).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 6, No. 6, pp. 641–649, December, 1969.

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Lozben', T.M. Locally compact groups with complementary closed subgroups. Mathematical Notes of the Academy of Sciences of the USSR 6, 851–855 (1969). https://doi.org/10.1007/BF01146403

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  • DOI: https://doi.org/10.1007/BF01146403

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