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Groupes de Coxeter infinis non affines. (Infinite non affine Coxeter groups)

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Publication:1084184
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zbMath0605.20049MaRDI QIDQ1084184

Pierre De la Harpe

Publication date: 1987

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

Coxeter groupexponential growthreflectionsTits alternativeirreducible Coxeter systemnonabelian free subgroup


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)


Related Items (8)

Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces ⋮ On the growth of hyperbolic 3-dimensional generalized simplex reflection groups. ⋮ Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers. ⋮ On twisted Fourier analysis and convergence of Fourier series on discrete groups ⋮ Imaginary cone and reflection subgroups of Coxeter groups ⋮ Double Affine Hecke Algebras and Congruence Groups ⋮ Normes de Sobolev et convoluteurs bornés sur \(L^ 2(G)\). (Sobolev norms and bounded convolvers on \(L^ 2(G)\)) ⋮ On the growth rate of ideal Coxeter groups in hyperbolic 3-space.




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