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

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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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     author = {M. D. Mamaghani},
     title = {Growth functions of groups of surfaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {681--693},
     publisher = {mathdoc},
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     number = {5},
     year = {1995},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a3/}
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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/