On Growth Types of Quotients of Coxeter Groups by Parabolic Subgroups |
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Authors: | Sankaran Viswanath |
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Institution: | 1. Department of Mathematics , University of California , Davis, California, USA svis@math.ucdavis.edu |
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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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Keywords: | Coxeter group Growth Parabolic subgroup |
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