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Isomorphisms of free decompositions of Г-operator groups with a regular group of operators Г

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Abstract

A theorem on the existence of isomorphic continuations for free decompositions of a Г-operator group with a group of operators Г acting regularly is proved.

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Literature cited

  1. S. MacLane, “A proof of the subgroup theorem for the free products,” Mathematika,5, 13–19 (1958).

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  2. A. G. Kurosh, “Lectures on General Algebra” [in Russian], Moscow (1962).

  3. S. T. Zavalo, “Operator Г-free groups,” Matem. Sb.,33, No. 3, 399–432 (1953).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State Universty, USSR

    V. A. Artamonov

Authors
  1. V. A. Artamonov
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Additional information

Translated from Matematicheskie Zametki, Vol. 4, No. 3, pp. 355–360, September, 1968.

The author is deeply grateful to A. G. Kurosh for supervising the research.

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Artamonov, V.A. Isomorphisms of free decompositions of Г-operator groups with a regular group of operators Г. Mathematical Notes of the Academy of Sciences of the USSR 4, 705–707 (1968). https://doi.org/10.1007/BF01116452

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  • DOI: https://doi.org/10.1007/BF01116452

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