This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
G. Bianchi and R. Cori, "Colorings of hypermaps and a conjecture of Brenner and Lyndon", Pacific J. Math. 110 (1984), pp. 41–48.
J.L. Brenner and R.C. Lyndon, "Nonparabolic subgroups of the modular group", J. Algebra 77 (1982), pp. 311–322, MR83k:10048.
J.L. Brenner and R.C. Lyndon, "Permutations and cubic graphs", Pacific J. Math. 104 (1983), pp. 285–315.
J.L. Brenner and R.C. Lyndon, "Maximal nonparabolic subgroups of the modular group", Math. Ann. 263 (1983), pp. 1–11.
J.L. Brenner and R.C. Lyndon, "The orbits of a product of two permutations", European J. Combin., to appear.
J.L. Brenner and R.C. Lyndon, "Infinite Eulerian tessellations", Discrete Math. 46 (1983), pp. 111–132.
J.L. Brenner and R.C. Lyndon, "Doubly Eulerian trails on rectangular grids", J. Graph Theory, to appear.
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.
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.
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.
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.
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.
K. Luoto, Private communication.
W. Magnus, Noneuclidean tesselations and their groups (Acadmic Press, London, New York, 1974), MR50:4774.
G.A. Miller, "On the product of two substitutions", Amer. J. Math. 22 (1900), pp. 185–190, FdM31, p. 134.
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.
B.H. Neumann, "Über ein gruppentheoretisch-arithmetisches Problem", Sitzungsber, Preuss. Ak. Wiss. Phys. Math. Kl. No. 10 (1933), pp. 429–444, FdM59, p. 146.
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.
W.W. Stothers, "Subgroups of the modular group", Proc. Camb. Phil. Soc. 75 (1974), pp. 139–153, MR48:10988.
W.W. Stothers, "Subgroups of the (2, 3, 7) triangle group", Manuscripta Math. 20 (1977), pp. 323–334, MR56:2923.
W.W. Stothers, "Subgroups of infinite index in the modular group", Glasgow Math. J. 19 (1978), pp. 33–43, MR80b:20060.
W.W. Stothers, "Diagrams associated with subgroups of Fuchsian groups", Glasgow Math. J. 20 (1979), pp. 103–114, MR80j:20048.
W.W. Stothers, "Subgroups of infinite index in the modular group, II", Glasgow Math. J. 22 (1981), pp. 101–118, MR83m:10033a.
W.W. Stothers, "Subgroups of infinite index in the modular group, III", Glasgow Math. J. 22 (1981), pp. 119–131, MR83m:10033b.
W.W. Stothers, "Groups of the second kind with the modular group, III", Illinois J. Math. 25 (1981), pp. 390–397, MR83a:10041.
C. Tretkoff, "Non-parabolic subgroups of the modular group", Glasgow Math. J. 16 (1975), pp. 91–102, MR53:3140.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0099663
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13890-7
Online ISBN: 978-3-540-39102-9
eBook Packages: Springer Book Archive