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Über Darstellungen von Elementen und Untergruppen in freien Produkten

Part of the Lecture Notes in Mathematics book series (LNM,volume 1098)

Keywords

  • Fuchsian Group
  • Canonical Polygon
  • Dann Gilt

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Literatur

  1. G. Baumslag, "Residual nilpotence and relations in free groups", J. Algebra 2 (1965), pp. 271–282, MR31:3487.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. C.C. Edmunds, "Representing products of disjoint words in a free group", Illinois J. Math. 25 (1981), pp. 589–592, MR82j:20057.

    MathSciNet  MATH  Google Scholar 

  3. A.H.M. Hoare, A. Karrass, and D. Solitar, "Subgroups of finite index of Fuchsian groups", Math. Z. 120 (1971), pp. 289–298, MR44:2837.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. A.H.M. Hoare, A. Karrass, and D. Solitar, "Subgroups of infinite index in Fuchsian groups", Math. Z. 125 (1972), pp. 59–69, MR45:2029.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. R.N. Kalia and G. Rosenberger, ":Uber Untergruppen ebener diskontinuierlicher Gruppen", Festschrift zum 65. Geburtstag von R.C. Lyndon (erscheint).

    Google Scholar 

  6. L. Keen, "Canonical polygons for finitely generated Fuchsian groups", Acta Math. 115 (1965), pp. 1–16, MR32:1349.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. J. Lehner, Discontinuous Groups and Automorphic Functions (A.M.S. Surveys 8, Amer. Math. Soc., 1964), MR29:1332.

    Google Scholar 

  8. R.C. Lyndon and P.E. Schupp, Combinatorial Group Theory (Ergibnisse der Math. 189, Springer, Berlin, Heidelberg, New York, 1977), MR58:28182.

    CrossRef  MATH  Google Scholar 

  9. A.M. Mcbeath, "Fuchsian groups", Proc. of the Dundee Summer School (1961).

    Google Scholar 

  10. M.H. Millington, "On cycloidal subgroups of the modular group", Proc. London Math. Soc. (3) 19 (1969), pp. 164–176, MR40:1484.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. M.H. Millington, "Subgroups of the classical modular group", J. London Math. Soc. (2) 1 (1969), pp. 351–357, MR39:5477.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. N. Peczynski, G. Rosenberger, and H. Zieschang, "Über Erzeugende ebener diskontinuierlicher Gruppen", Inventiones math. 29 (1975), pp. 161–180, MR52:3340.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. H. Petersson, "Über die Konstruktion zykloider Kongruenzgruppen in der rationalen Modulgruppe", J. reine und angew. Math. 250 (1971), pp. 182–212, MR45:5355.

    MathSciNet  MATH  Google Scholar 

  14. G. Rosenberger, "Über alternierende Wörter in freien Produkten mit Amalgam", Archiv der Math. 31 (1978), pp. 417–422, MR80h:20047.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. G. Rosenberger, "Gleichungen in freien Produkten mit Amalgam", Math. Z. 173 (1980), pp. 1–11, MR81k:20038; Berichtigung, Math. Z. 178 (1981), p. 579, MR82k:20050.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. B. Schoeneberg, Elliptic Modular Functions (Grundlehren der math. Wiss. 203, Springer, Berlin, Heidelberg, New York, 1974), MR54:236.

    CrossRef  MATH  Google Scholar 

  17. H. Zieschang, "Über die Nielsensche Kürzungsmethode in freien Produkten mit Amalgam", Inventiones math. 10 (1970), pp. 4–37, MR41:8528.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. H. Zieschang, "On subgroups of free products of cyclic groups" (in Russian), to appear.

    Google Scholar 

  19. H. Zieschang, E. Vogt, and H.-D. Coldewey, Surfaces and Planar Discontinuous Groups (Lecture Notes in Math. 835, Springer, Berlin, Heidelberg, New York, 1980), MR82h:57002.

    CrossRef  MATH  Google Scholar 

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© 1984 Springer-Verlag

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Rosenberger, G. (1984). Über Darstellungen von Elementen und Untergruppen in freien Produkten. In: Kim, A.C., Neumann, B.H. (eds) Groups — Korea 1983. Lecture Notes in Mathematics, vol 1098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099671

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  • DOI: https://doi.org/10.1007/BFb0099671

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