Reflection groups on the octave hyperbolic plane

DOI10.1006/jabr.1998.7671zbMath0932.51002OpenAlexW1980391800MaRDI QIDQ1282344

Daniel Allcock

Publication date: 30 March 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7671

zbMATH Keywords

discrete reflection groupsoctave hyperbolic plane

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Reflection groups, reflection geometries (51F15) Topological geometry (51H99)

Related Items (15)

Möbius rigidity of invariant metrics in boundaries of symmetric spaces of rank-1 ⋮ Peripheral separability and cusps of arithmetic hyperbolic orbifolds ⋮ Jørgensen's inequality for metric spaces with application to the octonions ⋮ The exceptional simple Lie group \(F_{4(-20)}\), after J. Tits ⋮ On the number of ends of rank one locally symmetric spaces ⋮ Chabauty compactification of the space of Cartan subgroups of \(\mathrm{SL}_n(\mathbb R)\) ⋮ On dynamics of \(\mathrm{Out}(F_n)\) on \(\mathrm{PSL}_2(\mathbb C)\) characters ⋮ Conformal Graph Directed Markov Systems on Carnot Groups ⋮ Existence of an invariant measure on a topological quasigroup ⋮ Cross-ratios and the Ptolemaean inequality in boundaries of symmetric spaces of rank 1 ⋮ Arithmetic hyperbolic reflection groups ⋮ The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of \(F_{4(-20)}\) ⋮ Cohomology theory of nonassociative algebras with metagroup relations ⋮ Almost homogeneous manifolds with boundary ⋮ New complex- and quaternion-hyperbolic reflection groups

Cites Work

• Arithmetic subgroups of algebraic groups
• Oktaven, Ausnahmegruppen und Oktavengeometrie
• Automorphism groups of Lorentzian lattices
• Restricted homogeneous coordinates for the Cayley projective plane
• Identifying models of the octave projective plane
• New complex- and quaternion-hyperbolic reflection groups
• The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
• Groups over \(\mathbb{Z}\)
• On unimodular integral quadratic forms
• Über eine nicht-desarguessche ebene projektive Geometrie
• Integral Cayley numbers
• ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
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