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Artin-Gruppen und Coxeter-Gruppen. (German) Zbl 0243.20037


MSC:

20F10 Word problems, other decision problems, connections with logic and automata (group-theoretic aspects)
20F34 Fundamental groups and their automorphisms (group-theoretic aspects)
20H15 Other geometric groups, including crystallographic groups
20M05 Free semigroups, generators and relations, word problems
32G99 Deformations of analytic structures

References:

[1] Bourbaki, N.: Groupes et algèbres de Lie, Chapitres 4, 5 et 6. Eléments de Mathématique XXXIV. Paris: Hermann 1968. · Zbl 0186.33001
[2] Brieskorn, E.: Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe. Inventiones math.12, 57-61 (1971). · Zbl 0204.56502 · doi:10.1007/BF01389827
[3] Brieskorn, E.: Sur les groupes de tresses [d’après V.I. Arnol’d] Séminaire Bourbaki, 24e année, 1971/72, no 401.
[4] Deligne, P.: Les immeubles des groupes de tresses généralisés. Inventiones math.17, 273-302 (1972). · Zbl 0238.20034 · doi:10.1007/BF01406236
[5] Garside, F.A.: The braid group and other groups. Quart. J. Math. Oxford, 2. Ser.20, 235-254 (1969). · Zbl 0194.03303 · doi:10.1093/qmath/20.1.235
[6] Tits, J.: Le problème des mots dans les groupes de Coxeter. Istituto Nazionale di Alta Matematica, Symposia Mathematica, Vol. I, 175-185 (1968).
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