Abstract
The principal objects studied in this note are infinite, non-affine Coxeter groups W. A well-known result of de la Harpe asserts that such groups have exponential growth. We study the growth type of quotients of W by parabolic subgroups and by a certain class of reflection subgroups. Our main result is that these quotients have exponential growth as well.
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2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
The author would like to thank the anonymous referee for a careful reading of the manuscript and providing insightful comments.
Notes
Communicated by K. C. Misra