References
Birman, J.: Braids, Links, and Mapping Class Groups. Princeton, N.J.: Princeton University Press 1974
Bourbaki, N.: Groupes et algèbres de Lie, Chapitres 4, 5, et 6, Eléments de Mathématique XXXIV. Paris: Hermann 1968
Brieskorn, E.: Die Fundamentalgruppe des Raumes der Regulären Orbits einer endlichen komplexen Spielsgruppe. Invent. Math.12, 57–61 (1971)
Brieskorn, E., Saito, K.: Artin-gruppen und Coxeter-gruppen. Invent. Math.17, 245–271 (1972)
Coxeter, H.S.M.: The complete enumeration of finite groups of the formR 2i =(R iRj)k ij=1. J. London Math. Soc.10, 21–25 (1935)
Deligne, P.: Les immeubles des groupes de tresses généralisés. Invent. Math.17, 273–302 (1972)
Garside, F.A.: The braid group and other groups. Quart. J. Math. Oxford, 2 Ser.20, 235–254 (1969)
Len, V.Y.: Artin's braids and their connections with groups and spaces. Etoge Nauke e Texneke. Algebra, Topologeya, Geometreya, Tom 17
Lyndon, R.C.: On Dehn's algorithm. Math. Ann.166, 208–228 (1966)
Lyndon, R.C., Schupp, P.E.: Combinatorial Group Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete. Berlin: Springer 1977
Schupp, P.E.: A survey of small cancellation theory. Word Problems, pp. 569–589. Amsterdam: North Holland 1973
Tits, J.: Le problème des mots dans les groupes de Coxeter. Instituto Nazionale di Alta Mathematica, Symposia Mathematica 1, 175–185 (1968)
Tits, J.: Normalisateurs de tores I. Groupes de Coxeter étendus. J. Algebra 4, 96–116 (1966)
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This work was supported by NSF grants MCS 7902512 and MCS 7703452. The authors would like to thank the referee for an extremely careful reading of the paper and many helpful suggestions
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Appel, K.I., Schupp, P.E. Artin groups and infinite Coxeter groups. Invent Math 72, 201–220 (1983). https://doi.org/10.1007/BF01389320
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DOI: https://doi.org/10.1007/BF01389320