The Normal Subgroups of Finite and Affine Coxeter Groups

DOI10.1112/S0024611598000112zbMath0908.20034OpenAlexW2078936908MaRDI QIDQ4400028

George Maxwell

Publication date: 8 March 1999

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611598000112

zbMATH Keywords

normal subgroupshomomorphismsaffine Coxeter groupsroot latticesfinite irreducible Coxeter systems

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Series and lattices of subgroups (20D30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphisms of infinite groups (20E36)

Related Items (9)

INVOLUTION GRAPHS WHERE THE PRODUCT OF TWO ADJACENT VERTICES HAS ORDER THREE ⋮ Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups ⋮ On quotients of Coxeter groups ⋮ An exploration of locally spherical regular hypertopes ⋮ TORIC REFLECTION GROUPS ⋮ Curves intersecting in a circuit pattern ⋮ Subgroup majorization. ⋮ Automorphisms of nearly finite Coxeter groups ⋮ Imaginary cone and reflection subgroups of Coxeter groups

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