Integral lattices and hyperbolic reflection groups
Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque no. 209  (1992), p. 279-291
@incollection{AST_1992__209__279_0,
     author = {Scharlau, Rudolf and Walhorn, Claudia},
     title = {Integral lattices and hyperbolic reflection groups},
     booktitle = {Journ\'ees arithm\'etiques de Gen\`eve - 9-13 septembre 1991},
     editor = {Coray D. F. and P\'etermann Y.-F. S},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {209},
     year = {1992},
     pages = {279-291},
     zbl = {0815.20039},
     language = {en},
     url = {http://www.numdam.org/item/AST_1992__209__279_0}
}
Scharlau, Rudolf; Walhorn, Claudia. Integral lattices and hyperbolic reflection groups, in Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque, no. 209 (1992), pp. 279-291. http://www.numdam.org/item/AST_1992__209__279_0/

[Bie] J. Biermann: Gitter mit kleiner Automorphismengruppe in Geschlechtern von -Gittern mit positiv-definiter quadratischer Form. Dissertation, Göttingen 1981. | Zbl 0486.10018

[BS] B. Blaschke and R. Scharlau: Reflective integral quadratic forms. In preparation.

[Bor] R. Borcherds: Automorphism Groups of Lorentzian Lattices. J. Algebra 111 (1987), 133-153. | Article | Zbl 0628.20003

[Bu] V. O. Bugaenko: Arithmetic crystallographic groups generated by reflections, and reflective hyperbolic lattices. Advances in Soviet Mathematics 8 (1992), 33-55. | Zbl 0768.20020

[EGM] J. Elstrodt, F. Grunewald, and J. Mennicke: Discontinuous Groups on Three-dimensional Hyperbolic Space: Analytical Theory and Arithmetic Applications. Russian Math. Surveys 38 (1983), 137-168. | Article | Zbl 0527.10018

[Es] F. Esselmann: Über die maximale Dimension von Lorentz-Gittern mit coendlicher Spiegelungsgruppe. Universität Bielefeld, Sonderforschungsbereich 343, Preprint No. 1992 - 23. | Zbl 0871.11046

[Kn] M. Kneser: Witts Satz für quadratische Formen über lokalen Ringen. Nachr. Akad. Wiss. Göttingen, Math.-Phys. Klasse (1972), 195-203. | Zbl 0244.10021

[Ni] V. V. Nikulin: On the Classification of Arithmetic Groups Generated by Reflections in Lobachevsky Spaces. Math. USSR Izvestija 18 (1982), 99-123. | Article | Zbl 0477.22008

[OM] O. T. O'Meara: Introduction to quadratic Forms. Springer Verlag, Berlin, Heidelberg, New York 1971. | Zbl 0207.05304

[SW] R. Scharlau and C. Walhorn: Tables of hyperbolic reflection groups. Universität Bielefeld, Ergänzungsreihe des Sonderforschungsbereichs 343, Heft 1992 - 01.

[Ti] J. Tits: Le problème des mots dans les groupes de Coxeter. Istituto Nazionale die Alta Matematica, Symposia Mathematica I (1968), 175-185. | Zbl 0206.03002

[Tr] A. Trojan: The Integral Extension of Isometries of Quadratic Forms over Local Fields. Canadian J. of Math. 18 (1966), 920-942. | Article | Zbl 0158.29802

[Vi1] E. B. Vinberg: Discrete Groups Generated by Reflections in Lobačevskiĭ Spaces. Math. USSR Sbornik 1 (1967), 429-444. | Article | Zbl 0166.16303

[Vi2] E. B. Vinberg: On Unimodular Integral Quadratic Forms. Functional Anal. Appl. 6 (1972), 24-31. | Article | Zbl 0252.10027

[Vi3] E. B. Vinberg: On Groups of Unit Elements of Certain Quadratic Forms. Math. USSR Sbornik 16 (1972), 17-35. | Article | Zbl 0252.20054

[Vi4] E. B. Vinberg: The Absence of Crystallographic Groups of Reflections in Lobachevsky Spaces of Large Dimension. Trans. Moscow Math. Soc. 47 (1985), 75-112. | Zbl 0593.22007

[Wal] C. Walhorn: Reflektive Gitter der Signatur (4,1) und hyperbolische Spiegelungsgruppen. Diplom thesis, Bielefeld 1990.

[Wa] G. L. Watson: Transformations of a quadratic form which do not increase the class-number. Proc. London Math. Soc. 12 (1962), 577-587. | Article | Zbl 0107.26901