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Imbedding of countable groups in 2-generated simple groups

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Abstract

We show that every countable group is imbeddable in a 2-generated simple group.

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Literature cited

  1. G. Higman, B. H. Neumann, and H. Neumann, “Embedding theorems for groups,” J. London Math. Soc.,24, 247–254 (1949).

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  2. B. H. Neumann, “Adjunction of elements to groups,” J. London Math. Soc.,18, 4–11 (1943).

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  3. B. H. Neumann, “An essay on free products of groups with amalgamations,” Phil. Trans. Roy. Soc. London, A 246, 503–554 (1954).

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  4. H. Neumann, “Generalized free products with amalgamated subgroups,” Amer. J. Math.,70, 590–625 (1948).

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  5. Kourov Tetrad [in Russian], Novosibirsk (1973).

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Authors and Affiliations

  1. Kostroma Pedagogic Institute, USSR

    A. P. Goryushkin

Authors
  1. A. P. Goryushkin
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Translated from Matematicheskie Zametki, Vol. 16, No. 2, pp. 231–235, August, 1974.

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Goryushkin, A.P. Imbedding of countable groups in 2-generated simple groups. Mathematical Notes of the Academy of Sciences of the USSR 16, 725–727 (1974). https://doi.org/10.1007/BF01105577

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  • DOI: https://doi.org/10.1007/BF01105577

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