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An example of a non-LERF group which is a free product of LERF groups with an amalgamated cyclic subgroup

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Abstract

A group with the properties of the title is constructed.

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References

  1. R. B. F. T. Allenby and R. F. Gregorac,On locally extended residually finite groups, Conference on Group Theory, Lecture Notes in Mathematics319, Springer-Verlag, Berlin-Heidelberg-New York, 1973, pp. 9–17.

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  2. K. W. Gruenberg,Cohomological Topics in Group Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1970.

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  3. H. Neumann,Varieties of Groups, Springer-Verlag, Berlin-Heidelberg-New York, 1967.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Sciences, The Hebrew University of Jerusalem, Givat Ram, 91904, Jerusalem, Israel

    E. Rips

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  1. E. Rips
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Rips, E. An example of a non-LERF group which is a free product of LERF groups with an amalgamated cyclic subgroup. Israel J. Math. 70, 104–110 (1990). https://doi.org/10.1007/BF02807222

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  • DOI: https://doi.org/10.1007/BF02807222

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