On normal subgroups of Coxeter groups generated by standard parabolic subgroups.

DOI10.1007/s10711-005-7890-1zbMath1121.20030arXivmath/0502563OpenAlexW3105819225MaRDI QIDQ2574977

Światosław R. Gal

Publication date: 5 December 2005

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502563

zbMATH Keywords

parabolic subgroupsCoxeter groupsgrowth seriesgenerating setsnormal closuresflag polytopes

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

NORMAL REFLECTION SUBGROUPS OF COMPLEX REFLECTION GROUPS ⋮ On quotients of Coxeter groups ⋮ ARITHMETIC ASPECTS OF SYMMETRIC EDGE POLYTOPES ⋮ Semidirect Product Decomposition of Coxeter Groups ⋮ Coxeter groups and abstract elementary classes: the right-angled case ⋮ Reduced expressions in semidirect products of Coxeter groups ⋮ Almost central involutions in split extensions of Coxeter groups by graph automorphisms ⋮ Reflection length with two parameters in the asymptotic representation theory of type B/C and applications

Cites Work

• Real root conjecture fails for five- and higher-dimensional spheres
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