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• W2898482562 startingPage "373" @default.
• W2898482562 abstract "Generalising previous results on classical braid groups by Artin and Lin, we determine the values of m, n $in$ N for which there exists a surjection between the n-and m-string braid groups of an orientable surface without boundary. This result is essentially based on specific properties of their lower central series, and the proof is completely combinatorial. We provide similar but partial results in the case of orientable surfaces with boundary components and of non-orientable surfaces without boundary. We give also several results about the classification of different representations of surface braid groups in symmetric groups." @default.
• W2898482562 created "2018-11-02" @default.
• W2898482562 creator A5015797376 @default.
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• W2898482562 date "2021-04-05" @default.
• W2898482562 modified "2023-10-18" @default.
• W2898482562 title "Lower central series, surface braid groups, surjections and permutations" @default.
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• W2898482562 doi "https://doi.org/10.1017/s0305004121000244" @default.
• W2898482562 hasPublicationYear "2021" @default.
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