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On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups

Swiatoslaw R. Gal
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Abstract

We discuss one construction of nonstandard subgroups in the category of Coxeter groups. Two formulae for the growth series of such a subgroups are given. As an application we construct a flag simple convex polytope, whose f-polynomial has non-real roots.

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Swiatoslaw R. Gal. 2005-02-26. On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups. https://doi.org/10.1007/s10711-005-7890-1

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