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Some uses of coset graphs

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References

  1. G. Bianchi and R. Cori, "Colorings of hypermaps and a conjecture of Brenner and Lyndon", Pacific J. Math. 110 (1984), pp. 41–48.

    Article  MathSciNet  MATH  Google Scholar 

  2. J.L. Brenner and R.C. Lyndon, "Nonparabolic subgroups of the modular group", J. Algebra 77 (1982), pp. 311–322, MR83k:10048.

    Article  MathSciNet  MATH  Google Scholar 

  3. J.L. Brenner and R.C. Lyndon, "Permutations and cubic graphs", Pacific J. Math. 104 (1983), pp. 285–315.

    Article  MathSciNet  MATH  Google Scholar 

  4. J.L. Brenner and R.C. Lyndon, "Maximal nonparabolic subgroups of the modular group", Math. Ann. 263 (1983), pp. 1–11.

    Article  MathSciNet  MATH  Google Scholar 

  5. J.L. Brenner and R.C. Lyndon, "The orbits of a product of two permutations", European J. Combin., to appear.

    Google Scholar 

  6. J.L. Brenner and R.C. Lyndon, "Infinite Eulerian tessellations", Discrete Math. 46 (1983), pp. 111–132.

    Article  MathSciNet  MATH  Google Scholar 

  7. J.L. Brenner and R.C. Lyndon, "Doubly Eulerian trails on rectangular grids", J. Graph Theory, to appear.

    Google Scholar 

  8. J.L. Brenner ans R.C. Lyndon, "A theorem of G.A. Miller on the order of the product of two permutations. I": Jnanabha, to appear; II: Indian J. Math., to appear; III: Pure Appl. Math. Sci., to appear.

    Google Scholar 

  9. H.S.M. Coxeter, "The groups determined by the relations S l = T m = (S −1 T −1 ST)p = 1", Duke Math. J. 2 (1936), pp. 61–73, FdM62, p. 80.

    Article  MathSciNet  MATH  Google Scholar 

  10. H.S.M. Coxeter and W.O.J. Moser, Generators and relations for discrete groups (editors, Ergebnisse der Mathematik, 14, Berlin, Heidelber, New York, 1972), MR50:2313.

    Google Scholar 

  11. 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.

    Article  MathSciNet  MATH  Google Scholar 

  12. 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.

    Article  MathSciNet  MATH  Google Scholar 

  13. K. Luoto, Private communication.

    Google Scholar 

  14. W. Magnus, Noneuclidean tesselations and their groups (Acadmic Press, London, New York, 1974), MR50:4774.

    MATH  Google Scholar 

  15. G.A. Miller, "On the product of two substitutions", Amer. J. Math. 22 (1900), pp. 185–190, FdM31, p. 134.

    Article  MathSciNet  MATH  Google Scholar 

  16. G.A. Miller, "Groups defined by the orders of two generators and the order of their product", Amer. J. Math. 24 (1902), pp. 96–100, FdM33, p. 154.

    Article  MathSciNet  MATH  Google Scholar 

  17. B.H. Neumann, "Über ein gruppentheoretisch-arithmetisches Problem", Sitzungsber, Preuss. Ak. Wiss. Phys. Math. Kl. No. 10 (1933), pp. 429–444, FdM59, p. 146.

    MATH  Google Scholar 

  18. A. Sinkov, "The groups determined by the relations S l = T m = (S −1 T −1 ST)p = 1", Duke Math. J. 2 (1936), pp. 74–83, FdM62, p. 80.

    Article  MathSciNet  MATH  Google Scholar 

  19. W.W. Stothers, "Subgroups of the modular group", Proc. Camb. Phil. Soc. 75 (1974), pp. 139–153, MR48:10988.

    Article  MathSciNet  MATH  Google Scholar 

  20. W.W. Stothers, "Subgroups of the (2, 3, 7) triangle group", Manuscripta Math. 20 (1977), pp. 323–334, MR56:2923.

    Article  MathSciNet  MATH  Google Scholar 

  21. W.W. Stothers, "Subgroups of infinite index in the modular group", Glasgow Math. J. 19 (1978), pp. 33–43, MR80b:20060.

    Article  MathSciNet  MATH  Google Scholar 

  22. W.W. Stothers, "Diagrams associated with subgroups of Fuchsian groups", Glasgow Math. J. 20 (1979), pp. 103–114, MR80j:20048.

    Article  MathSciNet  MATH  Google Scholar 

  23. W.W. Stothers, "Subgroups of infinite index in the modular group, II", Glasgow Math. J. 22 (1981), pp. 101–118, MR83m:10033a.

    Article  MathSciNet  MATH  Google Scholar 

  24. W.W. Stothers, "Subgroups of infinite index in the modular group, III", Glasgow Math. J. 22 (1981), pp. 119–131, MR83m:10033b.

    Article  MathSciNet  MATH  Google Scholar 

  25. W.W. Stothers, "Groups of the second kind with the modular group, III", Illinois J. Math. 25 (1981), pp. 390–397, MR83a:10041.

    MathSciNet  MATH  Google Scholar 

  26. C. Tretkoff, "Non-parabolic subgroups of the modular group", Glasgow Math. J. 16 (1975), pp. 91–102, MR53:3140.

    Article  MathSciNet  MATH  Google Scholar 

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Ann Chi Kim Bernhard H. Neumann

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© 1984 Springer-Verlag

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Lyndon, R.C. (1984). Some uses of coset graphs. 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/BFb0099663

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  • DOI: https://doi.org/10.1007/BFb0099663

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