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References
R.G. Burns, "A note on free groups", Proc. Amer. Math. Soc. 23 (1969), 14–17. MR40#5708.
Robert G. Burns, "On the intersection of finitely generated subgroups of a free group", Math. Z. 119 (1971), 121–130. MR43#4892.
R.G. Burns, "On the finitely generated subgroups of an amalgamated product of two groups", Trans. Amer. Math. Soc. 169 (1972), 293–306.
Leon Greenberg, "Discrete groups of motions", Canad. J. Math. 12 (1960), 415–426. MR22#5932.
A. Howard M. Hoare, Abraham Karrass and Donald Solitar, "Subgroups of finite index of Fuchsian groups", Math. Z. 120 (1971), 289–298. MR44#2837.
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.
A.G. Howson, "On the intersection of finitely generated free groups", J. London Math. Soc. 29 (1954), 428–434. MR16,444.
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.
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.
Bernard Maskit, "On Poincaré's theorem for fundamental polygons", Advances in Math. 7 (1971), 219–230. MR45#7049.
Hanna Neumann, "On the intersection of finitely generated free groups", Publ. Math. Debrecen 4 (1956), 186–189. MR18,11.
Hanna Neumann, "On the intersection of finitely generated free groups", (addendum), Publ. Math. Debrecen 5 (1957), 128. MR20#61.
H. Poincaré, "Théorie des groupes Fuchsiens", Acta Math. 1 (1882), 1–62. FdM14,338.
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.
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.
Heiner Zieschang, "Über die Nielsensche Kürzungsmethode in freien Produkten mit Amalgam", Invent. Math. 10 (197), 4–37. Zbl.185,52.
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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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