Torsion-free subgroups of triangle groups

Feuer, R. D.

doi:10.1090/S0002-9939-1971-0283093-6

Torsion-free subgroups of triangle groups
HTML articles powered by AMS MathViewer

by R. D. Feuer PDF

Proc. Amer. Math. Soc. 30 (1971), 235-240 Request permission

Abstract:

Certain torsion-free subgroups of various triangle groups are considered, the proof of their existence, and in some cases their calculation outlined. There is one section which treats certain specific triangle groups, and one which treats the general case.

References

Wilhelm Magnus, Abraham Karrass, and Donald Solitar, Combinatorial group theory: Presentations of groups in terms of generators and relations, Interscience Publishers [John Wiley & Sons], New York-London-Sydney, 1966. MR 0207802
Joseph J. Rotman, The theory of groups. An introduction, Allyn and Bacon, Inc., Boston, Mass., 1965. MR 0204499
A. Hurwitz, Ueber Riemann’sche Flächen mit gegebenen Verzweigungspunkten, Math. Ann. 39 (1891), no. 1, 1–60 (German). MR 1510692, DOI 10.1007/BF01199469
A. M. Macbeath, Generators of the linear fractional groups, Number Theory (Proc. Sympos. Pure Math., Vol. XII, Houston, Tex., 1967) Amer. Math. Soc., Providence, R.I., 1969, pp. 14–32. MR 0262379
Ralph H. Fox, On Fenchel’s conjecture about $F$-groups, Mat. Tidsskr. B 1952 (1952), 61–65. MR 53937
J. Mennicke, Eine Bemerkung über Fuchssche Gruppen, Invent. Math. 2 (1967), 301–305 (German). MR 207852, DOI 10.1007/BF01425406
James McCool, Elements of finite order in free product sixth-groups, Glasgow Math. J. 9 (1968), 128–145. MR 233875, DOI 10.1017/S0017089500000410

Vorlesungen ueber die Theorie der automorphen Funktionen