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On the rank of the intersection of subgroups of a fuchsian group

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Proceedings of the Second International Conference on The Theory of Groups

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References

  1. R.G. Burns, "A note on free groups", Proc. Amer. Math. Soc. 23 (1969), 14–17. MR40#5708.

    Article  MathSciNet  MATH  Google Scholar 

  2. Robert G. Burns, "On the intersection of finitely generated subgroups of a free group", Math. Z. 119 (1971), 121–130. MR43#4892.

    Article  MathSciNet  MATH  Google Scholar 

  3. R.G. Burns, "On the finitely generated subgroups of an amalgamated product of two groups", Trans. Amer. Math. Soc. 169 (1972), 293–306.

    Article  MathSciNet  MATH  Google Scholar 

  4. Leon Greenberg, "Discrete groups of motions", Canad. J. Math. 12 (1960), 415–426. MR22#5932.

    Article  MathSciNet  MATH  Google Scholar 

  5. A. Howard M. Hoare, Abraham Karrass and Donald Solitar, "Subgroups of finite index of Fuchsian groups", Math. Z. 120 (1971), 289–298. MR44#2837.

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Howard M. Hoare, Abraham Karrass and Donald Solitar, "Subgroups of infinite index of Fuchsian groups", Math. Z. 125 (1972), 59–69. Zb1.223.20054.

    Article  MathSciNet  MATH  Google Scholar 

  7. A.G. Howson, "On the intersection of finitely generated free groups", J. London Math. Soc. 29 (1954), 428–434. MR16,444.

    Article  MathSciNet  MATH  Google Scholar 

  8. A. Karrass and D. Solitar, "The subgroups of a free product of two groups with an amalgamated subgroup", Trans. Amer. Math. Soc. 150 (1970), 227–255. MR41#5499.

    Article  MathSciNet  MATH  Google Scholar 

  9. Wilhelm Magnus, Abraham Karrass, Donald Solitar, Combinatorial group theory: (Pure and Appl. Math. 13. Interscience [John Wiley & Sons], New York, London, Sydney, 1966). MR34#7617.

    MATH  Google Scholar 

  10. Bernard Maskit, "On Poincaré's theorem for fundamental polygons", Advances in Math. 7 (1971), 219–230. MR45#7049.

    Article  MathSciNet  MATH  Google Scholar 

  11. Hanna Neumann, "On the intersection of finitely generated free groups", Publ. Math. Debrecen 4 (1956), 186–189. MR18,11.

    MathSciNet  MATH  Google Scholar 

  12. Hanna Neumann, "On the intersection of finitely generated free groups", (addendum), Publ. Math. Debrecen 5 (1957), 128. MR20#61.

    MathSciNet  Google Scholar 

  13. H. Poincaré, "Théorie des groupes Fuchsiens", Acta Math. 1 (1882), 1–62. FdM14,338.

    Article  MathSciNet  MATH  Google Scholar 

  14. Abe Shenitzer, "Decomposition of a group with a single defining relation into a free product", Proc. Amer. Math. Soc. 6 (1955), 273–279. MR16,995.

    Article  MathSciNet  MATH  Google Scholar 

  15. H. Zieschang, E. Vogt and H.-D. Coldewey, Flächen und ebene diskontinuierliche Gruppen (Lecture Notes in Mathematics, 122. Springer-Verlag, Berlin, Heidelberg, New York, 1970). zbl.204,240.

    MATH  Google Scholar 

  16. Heiner Zieschang, "Über die Nielsensche Kürzungsmethode in freien Produkten mit Amalgam", Invent. Math. 10 (197), 4–37. Zbl.185,52.

    Google Scholar 

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M. F. Newman

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© 1974 Springer-Verlag

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Burns, R.G. (1974). On the rank of the intersection of subgroups of a fuchsian group. In: Newman, M.F. (eds) Proceedings of the Second International Conference on The Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065168

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  • DOI: https://doi.org/10.1007/BFb0065168

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