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@article{MZM_2002_71_3_a8, author = {M. D. Mamaghani}, title = {Rewriting {Systems} and the {Complete} {Growth} {Series} for {Triangular} {Coxeter} {Groups}}, journal = {Matemati\v{c}eskie zametki}, pages = {431--439}, publisher = {mathdoc}, volume = {71}, number = {3}, year = {2002}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_3_a8/} }
M. D. Mamaghani. Rewriting Systems and the Complete Growth Series for Triangular Coxeter Groups. Matematičeskie zametki, Tome 71 (2002) no. 3, pp. 431-439. http://geodesic.mathdoc.fr/item/MZM_2002_71_3_a8/
[1] Coxeter H. S. M., Moser W. O. J., Generators and Relations for Discrete Groups, Reprint of 4th ed., Springer-Verlag, New York, 1984 | Zbl
[2] Vinberg E. B., “Groups defined by periodic paired relations”, Sb. Math., 188:9 (1997), 1269–1278 | DOI | MR | Zbl
[3] Tits J., “Le probléme des mots dans les groupes de Coxeter”, Symp. Math., 1 (1968), 175–185
[4] Grigorchuk R. I., Nagnibeda T., “Complete growth functions of hyperbolic groups”, Inv. Math., 130 (1997), 159–188 | DOI | MR | Zbl
[5] Grigorchuk R. I., “Funktsii rosta, perepisyvayuschie sistemy i eilerova kharakteristika”, Matem. zametki, 58:5 (1995), 653–668 | MR | Zbl
[6] Mamaghani M. J., Rewriting Systems and Growth of Groups, Ph. D. dissertation, Sharif University of Technology. Department of Mathematical Sciences, Shahrivar 1374, In Farsi
[7] Brown K. S., “The geometry of rewriting systems: A proof of the Anick–Groves–Squier theorem”, Algorithms and Classification in Combinatorial Group Theory, Lect. Workshop (Berkeley, C.A., 1989), Math. Sci. Res. Inst., 23, Springer-Verlag, New York, 1992, 137–163
[8] Mamagani M. Dzh., “O funktsiyakh rosta grupp poverkhnostei”, Matem. zametki, 58:5 (1995), 681–693 | MR | Zbl
[9] Cohen D. E., “String rewriting – a survey for group theorists”, LMS Lecture Notes Ser., 181, Cambridge Univ. Press, Cambridge, 1993, 37–47 | Zbl
[10] Hermiller S. M., “Rewriting systems for Coxeter groups”, J. Pure Appl. Algebra, 92 (1994), 137–148 | DOI | MR | Zbl
[11] Bourbaki N., Groupes et algèbres de Lie, Ch. 4–6, Hermann, Paris, 1968
[12] Paris L., “Growth series of Coxeter groups”, Group Theory from Geometrical Viewpoint, eds. E. Ghys, A. Haefliger, A. Verjovsky, World Scientific, Singapore, 1991
[13] Changey N., Rationalité des séries de croissance complète des groupes de Coxeter, Preprint, Université de Dijon, 1997