References
Atiyah, M. & Bott, R.,Notes on the Lefshetz fixed point theorem for elliptic complexes. Harvard University Seminar notes, Cambridge, 1964.
Brauer, R., Über Systeme hypercomplexer Zahlen.Math. Z., 30 (1929), 79–107.
Brauer, R. &Suzuki, M., On finite groups of even order whose 2-Sylow group is a quaternion group.Proc. Nat. Acad. Sci., 45 (1959), 1757–1759.
Coxeter, H. S. M. &Moser, W. O.,Generators and relations for discrete groups. Ergebnisse der Math., 14 (1965), Springer-Verlag, New York.
Dickson, L. E.,Linear groups. Dover, New York, 1958.
Feit, W. &Thompson, J., Finite groups which contain a self-centralizing subgroup of order 3.Nagoya Math. J., 21 (1962), 185–197.
Frederick, K., The Hopfian property for a class of fundamental groups.Comm. Pure Appl. Math., 16 (1962), 1–8.
Gagen, T. M., On groups with abelian Sylow 2-groups.Math. Z., 90 (1965), 268–272.
Gorenstein, D.,Finite groups. Harper and Row, New York, 1968.
Gunning, R. C.,Lectures on Riemann surfaces. Princeton University Lecture Notes, Princeton, 1966.
Hurwitz, A.,Mathematische Werke., 1 (1932), Basel.
Iwasawa, K. &Tamagawa, T., On the group of automorphisms of a function field,J. Math. Soc. Japan, 3 (1951), 137–147; 4 (1952), 100–101 and 203–204.
Janko, Z., A new finite simple group with abelian Sylow 2-subgroups and its characterization.J. of Algebra, 4 (1966), 147–186.
Janko, Z. &Thompson, J., On a class of finite simple groups of Ree.J. of Algebra, 4 (1966), 274–292.
Jordan, H. E., Group characters of various types of linear groups.Amer. J. Math., 29 (1907), 387–485.
Keen, L., Canonical polygons for finitely generated Fuchsian groups.Acta Math., 115 (1966), 1–16.
—, Intrinsic moduli on Riemann surfaces.Ann. of Math., 84 (1966), 404–420.
Lehner, J.,Discontinuous groups and automorphic functions. Amer. Math. Soc. Surveys, 8 (1964), New York.
Lehner, J. &Newman, M., On Riemann surfaces with maximal automorphism groups.Glasgow Math. J., 8 (1967), 102–112.
Levi, F., Über die Untergruppen der freien Gruppen, II.Math. Z., 37 (1933), 90–97.
Macbeath, A. M.,Fuchsian groups. Dundee Summer School Proc. 1962.
—, On a theorem of Hurwitz.Glasgow Math. J., 5 (1961), 90–96.
—, On a curve of genus 7.Proc. Lond. Math. Soc., 15 (1965), 527–542.
Magnus, W., Karrass, A. &Solitar, D.,Combinatorial group theory. Interscience, New York, 1966.
Miller, G. A., On the groups generated by two operators of orders two and three respectively whose product is of order six.Quarterly J. Math., 33 (1901), 76–79.
Ree, R., A family of simple groups associated with the simple Lie algebra of type (G2).Amer. J. Math. 83 (1961), 432–462.
Rosenlicht, M., Automorphisms of function fields.Trans. Amer. Math. Soc., 79 (1955), 1–11.
Sah, C. H., A class of finite groups with abelian 2-Sylow subgroups.Math. Z., 82 (1963), 335–346.
Schmidt, H. L., Über die Automorphismen eines algebraischen Funktionenkörpers von Primzahlcharakteristik.J. Reine Angew. Math., 179 (1938), 5–15.
Ward, H. N., On Ree's series of simple groups.Trans. Amer. Math. Soc., 121 (1966), 62–89
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This research was partially supported by a grant from the National Science Foundation.
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Sah, CH. Groups related to compact Riemann surfaces. Acta Math. 123, 13–42 (1969). https://doi.org/10.1007/BF02392383
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DOI: https://doi.org/10.1007/BF02392383