On Growth Types of Quotients of Coxeter Groups by Parabolic Subgroups

REFERENCES

• de la Harpe , P . ( 1987 ). Groupes de Coxeter infinis non affines . Exposition Math. 5 ( 1 ): 91 – 96 .
   Google Scholar
• de la Harpe , P . ( 2000 ). Topics in Geometric Group Theory . Chicago Lectures in Mathematics . Chicago , IL : University of Chicago Press .
   Google Scholar
• Deodhar , V. V. ( 1982 ). On the root system of a Coxeter group . Comm. Algebra 10 ( 6 ): 611 – 630 .
   Web of Science ®Google Scholar
• Deodhar , V. V. ( 1989 ). A note on subgroups generated by reflections in Coxeter groups . Arch. Math. (Basel) 53 ( 6 ): 543 – 546 .
   Web of Science ®Google Scholar
• Dyer , M. ( 1988 ). On some generalisations of the Kazhdan–Lusztig polynomials for “universal” Coxeter systems . J. Algebra 16 ( 2 ): 353 – 371 .
   Web of Science ®Google Scholar
• Dyer , M. ( 1990 ). Reflection subgroups of Coxeter systems . J. Algebra 135 ( 1 ): 57 – 73 .
   Web of Science ®Google Scholar
• Humphreys , J. E. ( 1990 ). Reflection Groups and Coxeter Groups . Cambridge Studies in Advanced Mathematics, No. 29. Cambridge : Cambridge University Press .
   Google Scholar
• Kac , V. G. ( 1990 ). Infinite-dimensional Lie algebras. , 3rd ed. Cambridge : Cambridge University Press .
   Google Scholar
• Margulis , G. A. , Vinberg , E. B. ( 2000 ). Some linear groups virtually having a free quotient . J. Lie Theory 10 ( 1 ): 171 – 180 .
   Web of Science ®Google Scholar
• Noskov , G. A. , Vinberg , E. B. ( 2002 ). Strong Tits alternative for subgroups of Coxeter groups . J. Lie Theory 12 ( 1 ): 259 – 264 .
   Web of Science ®Google Scholar
• Wagreich , P. ( 1982 ). The Growth Function of a Discrete Group . Group actions and vector fields (Vancouver, B.C., 1981). Lecture Notes in Math. Vol. 956. Springer, Berlin , pp. 125 – 144 .
   Google Scholar
• Communicated by K. C. Misra
   Google Scholar