On the \(Y_{555}\) complex reflection group.

DOI10.1016/j.jalgebra.2009.05.027zbMath1269.20029arXiv0802.1082OpenAlexW2081907518MaRDI QIDQ734780

Daniel Allcock

Publication date: 13 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1082

zbMATH Keywords

Weyl groupsMonsterCoxeter diagramslatticescomplex reflection groupsEisenstein integerscomplex Leech lattice

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Lattices and convex bodies (number-theoretic aspects) (11H06) Automorphism groups of lattices (11H56)

Related Items (5)

Locally toroidal polytopes of rank 6 and sporadic groups ⋮ The complex Lorentzian Leech lattice and the bimonster (II) ⋮ Generators for a complex hyperbolic braid group ⋮ On Coxeter diagrams of complex reflection groups ⋮ Modular lattices from finite projective planes

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• Erratum : “Finite complex reflection groups”
• ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS
• Finite Unitary Reflection Groups

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