[1] |
R. Baer , The group of motions of a two-dimensional elliptic plane , Compositio Math ., 9 ( 1951 ), pp. 241 - 288 . Numdam | MR 48051 | Zbl 0045.10001 · Zbl 0045.10001 |
[2] |
A. Borel , Density and maximality of arithmetic subgroups , J. Reine Angew. Math. , 224 ( 1966 ), pp. 78 - 89 . MR 205999 | Zbl 0158.03105 · Zbl 0158.03105 · doi:10.1515/crll.1966.224.78 |
[3] |
Z.I. Borevich - I.R. Shafarevich , Number Theory , Academic Press , New York , 1966 . MR 195803 | Zbl 0145.04902 · Zbl 0145.04902 |
[4] |
M. Deuring , Algebren, Erg. d. Math. u. i. Grenzgeb. 4 , Springer Verlag , 1935 . MR 228526 | Zbl 0011.19801 | JFM 61.0118.01 · Zbl 0011.19801 |
[5] |
M. Eichler , Ueber die Idealtheorie hyperkomplexer Systeme , Math. Z ., 43 ( 1938 ), pp. 481 - 494 . MR 1545733 | Zbl 0018.20201 | JFM 64.0085.01 · Zbl 0018.20201 · doi:10.1007/BF01181104 |
[6] |
R. Fricke , Ueber den aritmetischen Charaker der zu den Verzweigungen (2, 3, 7) und (2, 4, 7) gehörenden Dreicksfunctionen , Math. Ann ., 41 ( 1893 ), pp. 443 - 468 . Article | MR 1510754 | JFM 24.0395.01 · JFM 24.0395.01 |
[7] |
R. Fricke - F. Klein , Vorlesungen über die Theorie der automorphen Functionen , Band I , B. G. Teubner, Leipzig , 1893 . JFM 28.0334.01 · JFM 28.0334.01 |
[8] |
H.J. Godwin , On quartic fields with signature one with small discriminants, Quart . J. Math. Oxford , 8 ( 1957 ), pp. 214 - 222 . MR 97375 | Zbl 0079.05704 · Zbl 0079.05704 · doi:10.1093/qmath/8.1.214 |
[9] |
H. Helling , Bestimmung der Kommensurabilitätsklasse der Hilbertschen Modulgruppe , Math. Z. , 92 ( 1966 ), pp. 269 - 280 . Article | MR 228437 | Zbl 0143.30601 · Zbl 0143.30601 · doi:10.1007/BF01112194 |
[10] |
N. Iwahori - H. Matsumoto , On some Bruhat decompositions and the structure of the Hecke rings of p-adic Chevalley groups , Publ. Math. I.H.E.S. , 25 ( 1965 ), pp. 237 - 280 . Numdam | MR 185016 | Zbl 0228.20015 · Zbl 0228.20015 · doi:10.1007/BF02684396 |
[11] |
H. Jacquet - R. Langlands , Automorphic forms on GL(2) , Lecture Notes in Mathematics 114 , Springer-Verlag 1970 . MR 401654 | Zbl 0236.12010 · Zbl 0236.12010 · doi:10.1007/BFb0058988 |
[12] |
K. Takeuchi , Commensurability classes of arithmetic triangle groups , J. Fac. Sci. Univ. Tokyo , 24 ( 1977 ), pp. 201 - 212 . MR 463116 | Zbl 0365.20055 · Zbl 0365.20055 |
[13] |
G.A. Margoulis , Discrete groups of isometries of manifolds of nonpositive curvature, Proc. Int. Congress Math . 1974 , Vancouver , Vol. 2 , pp. 21 - 34 . · Zbl 0336.57037 |
[14] |
J. Mayer , Die absolut-kleinsten Diskriminanten der biquadratischen Zahlkörper , Sitzungsber. Akad. Wiss. Wien (IIA), 138 ( 1929 ), pp. 733 - 742 . JFM 55.0104.05 · JFM 55.0104.05 |
[15] |
A.M. Odlyzko , Some analytic estimates of class numbers and discriminants , Invent. Math. , 29 ( 1975 ), pp. 275 - 286 . MR 376613 | Zbl 0306.12005 · Zbl 0306.12005 · doi:10.1007/BF01389854 |
[16] |
T. Ono , On algebraic groups and discontinuous subgroups , Nagoya Math. J ., 27 ( 1966 ), pp. 297 - 322 . Article | MR 199193 | Zbl 0166.29802 · Zbl 0166.29802 |
[17] |
M.S. Raghunathan , Discrete subgroups of Lie groups, Erg. d. Math. u. i. Grenzgeb ., 68 , Springer Verlag , 1972 . MR 507234 | Zbl 0254.22005 · Zbl 0254.22005 |
[18] |
J. Rohlfs , Ueber maximale arithmetisch definierte Gruppen , Math. Ann. , 234 ( 1978 ), pp. 239 - 252 . MR 498975 | Zbl 0384.20038 · Zbl 0384.20038 · doi:10.1007/BF01420646 |
[19] |
J. Rohlfs , Die maximalen arithmetisch definierten Untergruppen zerfallender einfacher Gruppen , preprint. MR 553253 · Zbl 0426.20030 |
[20] |
J-P. Serre , Cohomologie des groupes discrets, in Prospects in Math., Annals Math. Studies , 70 , Princeton U. Press 1970 , pp. 77 - 168 . MR 385006 | Zbl 0235.22020 · Zbl 0235.22020 |
[21] |
J-P. Serre , Arbres, amalgames, SL2 , Astérisque , 46 ( 1977 ), Soc. Math. France . MR 476875 | Zbl 0369.20013 · Zbl 0369.20013 |
[22] |
H. Shimizu , On zeta functions of quaternion algebras , Ann. of Math ., ( 2 ) 81 ( 1965 ), pp. 166 - 193 . MR 171771 | Zbl 0201.37903 · Zbl 0201.37903 · doi:10.2307/1970389 |
[23] |
C.L. Siegel , The volume of the fundamental domain for some infinite groups , Trans. A.M.S ., 39 ( 1936 ), pp. 209 - 218 . MR 1501843 | Zbl 0013.24901 | JFM 62.0137.01 · Zbl 0013.24901 · doi:10.2307/1989745 |
[24] |
W. Thurston , The geometry and topology of 3-manifolds, mimeographed Notes , Princeton University . |
[25] |
J. Tits , Travaux de Margulis sur les sous-groupes discrets de groupes de Lie , Sém. Bourbaki , Exp. 482, Février 1976 , Springer L.N. , 567 , pp. 174 - 190 . Numdam | MR 492073 | Zbl 0346.22011 · Zbl 0346.22011 |
[26] |
H.C. Wang , On a maximality property of discrete subgroups with fundamental domain of finite measure, Amer . J. Math. , 89 ( 1967 ), pp. 124 - 132 . MR 207895 | Zbl 0152.01002 · Zbl 0152.01002 · doi:10.2307/2373102 |
[27] |
H.C. Wang , Topics on totally discontinuous groups, in Symmetric spaces , W. Boothby ed., M. Dekker 1972 , pp. 460 - 487 . MR 414787 | Zbl 0232.22018 · Zbl 0232.22018 |
[28] |
A. Weil , Basic Number Theory, Grund. Math. Wiss. , 144 , Springer-Verlag 1967 . MR 234930 | Zbl 0176.33601 · Zbl 0176.33601 |
[29] |
A. Weil , Adeles and algebraic groups , Notes by M. Demazure and T. Ono, The Institute for Advanced Study , 1961 . MR 670072 |
[30] |
B. Weisfeiler , On abstract monomorphisms of k-forms of PGL(2) , J. Algebra , 57 ( 1979 ), pp. 522 - 543 . MR 533812 | Zbl 0406.20035 · Zbl 0406.20035 · doi:10.1016/0021-8693(79)90237-0 |