Geodesic
Permutation representations of braid groups of surfaces
Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 309-318

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In this paper all primitive representations of braid groups on strings of surfaces of finite type in groups of permutations of symbols are found. As an application it is proved that the groups of pure braids of surfaces are characteristic subgroups of the braid groups. These results generalize Artin's classical results on Artin's braid groups. 
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     author = {N. V. Ivanov},
     title = {Permutation representations of braid groups of surfaces},
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N. V. Ivanov. Permutation representations of braid groups of surfaces. Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 309-318. http://geodesic.mathdoc.fr/item/SM_1992_71_2_a2/