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A necessary condition for\(\mathop {A * B}\limits_{a = b} \) to be LERFto be LERF

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Abstract

This paper examines some necessary conditions for the product\(\mathop {A * B}\limits_{a = b} \) to be LERF.

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References

  1. A. M. Brunner, R. G. Burns and D. Solitar,The subgroup separability of free products of two free groups with cyclic amalgamation, Contemp. Math.33 (1984), 90–115.

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  2. Rita Gitik,Graphs and LERF groups, preprint.

  3. M. Hall, Jr.,Coset representations in free groups, Trans. Am. Math. Soc.69 (1949), 431–451.

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  4. E. Rips,An example of a non-LERF group which is a free product of LERF groups with an amalgamated cyclic subgroup, Isr. J. Math.70 (1990), 104–110.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Rita Gitik & Eliyahu Rips

Authors
  1. Rita Gitik
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  2. Eliyahu Rips
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Gitik, R., Rips, E. A necessary condition for\(\mathop {A * B}\limits_{a = b} \) to be LERFto be LERF. Israel J. Math. 73, 123–125 (1991). https://doi.org/10.1007/BF02773431

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  • DOI: https://doi.org/10.1007/BF02773431

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