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Geometry and combinatorics of groups generated by reflections

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Publication:1822102
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zbMath0617.57022MaRDI QIDQ1822102

Eugene Gutkin

Publication date: 1986

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)


zbMATH Keywords

Coxeter groupproperly discontinuouslyfundamental chamberreflection group acting on a connected \(C^ 1\)-manifold


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other groups related to topology or analysis (20F38) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30)


Related Items (6)

Operator calculi associated with reflection groups ⋮ Simplex method and groups generated by reflections ⋮ Coxeter transformation groups and reflection arrangements in smooth manifolds ⋮ Bethe Ansatz and the generalized Yang-Baxter equations ⋮ Integrable many-body problems and functional equations ⋮ Singular Riemannian foliations on nonpositively curved manifolds




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