On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups

Details On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups

2005-02-26

arxiv.org/abs/math/0502563v1

Geometri{\ae} Dedicata, Vol. 115 (2005), pp. 65-78

Mathematics

Group Theory

12 pages, figures

Scientific paper

10.1007/s10711-005-7890-1

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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