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Order separability of free products with amalgamated subgroup

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Abstract

The order separability is proved for the free product of two free groups with the amalgamated maximal cyclic subgroups.

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References

  1. A. A. Klyachko, “Equations over Groups, Quasivarieties, and a Residual Property of a Free Group,” J. G. T. 2, 319 (1999).

    Article  MathSciNet  MATH  Google Scholar 

  2. V. V. Edynak, “Separability with Respect to Orders,” Vestnik Mosk. Univ., Matem. Mekhan., No 3, 53 (2006) [Moscow Univ. Math. Bul. 61 (3), 35 (2006)].

  3. N. S. Romanovskii, “Finite Approximability of Free Products with Respect to Occurrence,” Izvestiya Akad. Nauk SSSR, Ser. Matem. 33, 1324 (1969) [Mathematics of the USSR-Izvestiya 3 (6), 1245 (1969)].

    MathSciNet  Google Scholar 

  4. P. Stebe, “Conjugacy Separability of Certain Free Products with Amalgamation,” Trans. Amer. Math. Soc. 156, 119 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  5. M. I. Kargapolov, Yu. I. Merzlyakov, Fundamentals of the Theory of Groups (Nauka, Moscow, 1977; Springer, 1979).

    Google Scholar 

  6. R. Lyndon, P. Schupp, Combinatorial Group Theory (Springer-Verlag, Berlin, Heidelberg, 1977; Mir, Moscow, 1980).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    V. V. Edynak

Authors
  1. V. V. Edynak
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Additional information

Original Russian Text © V.V. Edynak, 2011, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2011, Vol. 66, No. 5, pp. 6–14.

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Edynak, V.V. Order separability of free products with amalgamated subgroup. Moscow Univ. Math. Bull. 66, 189–196 (2011). https://doi.org/10.3103/S0027132211050020

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  • DOI: https://doi.org/10.3103/S0027132211050020

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