This article is cited in 4 papers

Permutation representations of braid groups of surfaces

N. V. Ivanov


Abstract: 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.

UDC: 517.9

MSC: Primary 20F36; Secondary 20F34, 57N99

Received: 18.04.1989

 English version: Mathematics of the USSR-Sbornik, 1992, 71:2, 309–318

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