Geodesic
Growth functions of groups of surfaces
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 681-693.

Voir la notice de l'article provenant de la source Math-Net.Ru

The growth function of the fundamental group of an orientable surface of genus $g\ge2$ is computed via rewriting systems and a formula due to R. I. Grigorchuk. 
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M. D. Mamaghani. Growth functions of groups of surfaces. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 681-693. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a3/

[1] Grigorchuk R. I., “On growth in group theory”, Proceedings of the ICM Kyoto 90, V. 1, 1990, 325–338

[2] Cannon J. W., The growth of the closed surface groups and the compact hyperbolic groups, Preprint, Boston, 1979

[3] Grigorchuk R. I., “Funktsii rosta, perepisyvayuschie sistemy i eilerova kharakteristika”, Matem. zametki, 58:5 (1995), 653–668 | MR | Zbl

[4] Stoll M., Some group presentations with rational growth, Preprint, Boston, 1994

[5] Cohen D. E., “String rewriting: a survey for group theorist”, Geometric Group Theory, V. 1 (Sussex, 1991), London Math. Soc. Lect. Note Series, 181, 1993, 37–47 | Zbl

[6] Epstein D. B. A., Cannon J. W., Holt D. F., Levy S. V. F., Paterson M. S., Thurston W. P., Word processing in groups, Jones and Bartlett, Boston, 1992 | Zbl

[7] Bourbaki N., Groupes et algebres de Lie, Hermann, Paris, 1968