On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups

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.

12 pages, figures

References in corpus (1)

• Real Root Conjecture fails for five and higher dimensional spheres

Cited by in corpus (5)

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• Reflection length with two parameters in the asymptotic representation theory of type B/C and applications
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• Normal Reflection Subgroups of Complex Reflection Groups
• Coxeter Groups and Abstract Elementary Classes: The Right-Angled Case