Geodesic
The 𝐾(𝜋,1)-problem for hyperplane complements associated to infinite reflection groups
Journal of the American Mathematical Society, Tome 08 (1995) no. 3, pp. 597-627 Cet article a éte moissonné depuis la source American Mathematical Society

Voir la notice de l'article

@article{10_1090_S0894_0347_1995_1303028_9,
     author = {Charney, Ruth and Davis, Michael W.},
     title = {The {\ensuremath{\mathit{K}}(𝜋,1)-problem} for hyperplane complements associated to infinite reflection groups},
     journal = {Journal of the American Mathematical Society},
     pages = {597--627},
     year = {1995},
     volume = {08},
     number = {3},
     doi = {10.1090/S0894-0347-1995-1303028-9},
     url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1995-1303028-9/}
}
TY  - JOUR
AU  - Charney, Ruth
AU  - Davis, Michael W.
TI  - The 𝐾(𝜋,1)-problem for hyperplane complements associated to infinite reflection groups
JO  - Journal of the American Mathematical Society
PY  - 1995
SP  - 597
EP  - 627
VL  - 08
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1995-1303028-9/
DO  - 10.1090/S0894-0347-1995-1303028-9
ID  - 10_1090_S0894_0347_1995_1303028_9
ER  - 
%0 Journal Article
%A Charney, Ruth
%A Davis, Michael W.
%T The 𝐾(𝜋,1)-problem for hyperplane complements associated to infinite reflection groups
%J Journal of the American Mathematical Society
%D 1995
%P 597-627
%V 08
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1995-1303028-9/
%R 10.1090/S0894-0347-1995-1303028-9
%F 10_1090_S0894_0347_1995_1303028_9
Charney, Ruth; Davis, Michael W. The 𝐾(𝜋,1)-problem for hyperplane complements associated to infinite reflection groups. Journal of the American Mathematical Society, Tome 08 (1995) no. 3, pp. 597-627. doi: 10.1090/S0894-0347-1995-1303028-9

[1] Appel, K. I., Schupp, P. E. Artin groups and infinite Coxeter groups Invent. Math. 1983 201 220

[2] Bourbaki, Nicolas Éléments de mathématique 1981 290

[3] Bridson, Martin R. Geodesics and curvature in metric simplicial complexes 1991 373 463

[4] Brieskorn, E. Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe Invent. Math. 1971 57 61

[5] Brown, Kenneth S. Buildings 1989

[6] Charney, Ruth Artin groups of finite type are biautomatic Math. Ann. 1992 671 683

[7] Charney, Ruth Geodesic automation and growth functions for Artin groups of finite type Math. Ann. 1995 307 324

[8] Charney, Ruth, Davis, Michael Singular metrics of nonpositive curvature on branched covers of Riemannian manifolds Amer. J. Math. 1993 929 1009

[9] Charney, Ruth, Davis, Michael The Euler characteristic of a nonpositively curved, piecewise Euclidean manifold Pacific J. Math. 1995 117 137

[10] Corson, J. M. Groups acting on complexes and complexes of groups 1995 79 97

[11] Davis, Michael W. Groups generated by reflections and aspherical manifolds not covered by Euclidean space Ann. of Math. (2) 1983 293 324

[12] Deligne, Pierre Les immeubles des groupes de tresses généralisés Invent. Math. 1972 273 302

[13] Garside, F. A. The braid group and other groups Quart. J. Math. Oxford Ser. (2) 1969 235 254

[14] Gromov, M. Hyperbolic groups 1987 75 263

[15] Fox, R., Neuwirth, L. The braid groups Math. Scand. 1962 119 126

[16] Haefliger, André Complexes of groups and orbihedra 1991 504 540

[17] Haefliger, André Extension of complexes of groups Ann. Inst. Fourier (Grenoble) 1992 275 311

[18] Hendriks, Harrie Hyperplane complements of large type Invent. Math. 1985 375 381

[19] Lannér, Folke On complexes with transitive groups of automorphisms Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.] 1950 71

[20] Nguyễn Viêt Dũng The fundamental groups of the spaces of regular orbits of the affine Weyl groups Topology 1983 425 435

[21] Tits, Jacques Le problème des mots dans les groupes de Coxeter 1969 175 185

[22] Vinberg, È. B. Discrete linear groups that are generated by reflections Izv. Akad. Nauk SSSR Ser. Mat. 1971 1072 1112

Cité par Sources :