REFERENCES
- Barvinok , A. ( 2002 ). A Course in Convexity . Graduate Studies in Mathematics , Vol. 54. Providence, RI : American Mathematical Society .
- Björner , A. , Brenti , F. ( 2005 ). Combinatorics of Coxeter Groups . Graduate Texts in Mathematics , Vol. 231. New York : Springer .
- Brink , B. ( 1998 ). The set of dominance-minimal roots . J. Algebra 206 ( 2 ): 371 – 412 .
- de la Harpe , P. ( 1987 ). Groupes de Coxeter infinis non affines . Exposition. Math. 5 ( 1 ): 91 – 96 .
- de la Harpe , P. ( 2000 ). Topics in Geometric Group Theory . Chicago Lectures in Mathematics. Chicago , IL : University of Chicago Press .
- Deodhar , V. V. ( 1982 ). On the root system of a Coxeter group . Comm. Algebra 10 ( 6 ): 611 – 630 .
- Deodhar , V. V. ( 1989 ). A note on subgroups generated by reflections in Coxeter groups . Arch. Math. (Basel) 53 ( 6 ): 543 – 546 .
- Dyer , M. Imaginary Cone and Dominance Order in Coxeter Groups. In preparation.
- Dyer , M. Imaginary Cone and Reflection Subgroups of Coxeter Groups. Preprint: http://arXiv.org/abs/1210.5206
- Dyer , M. ( 1990 ). Reflection subgroups of Coxeter systems . J. Algebra 135 ( 1 ): 57 – 73 .
- Edgar , T. ( 2011 ). A case-free characterization of hyperbolic Coxeter systems . J. Group Theory 14 ( 5 ): 777 – 782 .
- Humphreys , J. E. ( 1990 ). Reflection Groups and Coxeter Groups . Cambridge Studies in Advanced Mathematics , Vol. 29. Cambridge : Cambridge University Press .
- Kac , V. G. ( 1990 ). Infinite-Dimensional Lie Algebras. , 3rd ed. Cambridge : Cambridge University Press .
- Kuratowski , K. ( 1966 ). Topology . New ed. , Vol. I. revised and augmented. Translated from the French by J. Jaworowski. New York : Academic Press .
- Margulis , G. A. , Vinberg , È. B. ( 2000 ). Some linear groups virtually having a free quotient . J. Lie Theory 10 ( 1 ): 171 – 180 .
- Viswanath , S. ( 2008 ). On growth types of quotients of Coxeter groups by parabolic subgroups . Comm. Algebra 36 ( 2 ): 796 – 805 .
- Communicated by K. Misra.