ower central series, surface braid groups, surjections and permutation

Autor(es)

Bellingeri, Paolo ^[1] ; Goncalves, Daciberg Lima ^[2] ; Guaschi, John ^[1]

Afiliação do(s) autor(es)

^[1] Normandie Univ, Lab Math Nicolas Oresme, UMR CNRS 6139, UNICAEN, CNRS, F-14000 Caen - France

^[2] IME USP, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; v. 172, n. 2, p. 373-399, MAR 2022.
• Citações Web of Science: 0

Resumo

Generalising previous results on classical braid groups by Artin and Lin, we determine the values of m, n is an element of 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. (AU)

• Processo FAPESP: 16/50354-1 - Generalisations of configuration spaces, relations between braid and almost-crystallographic groups, and applications to the study of the Borsuk-Ulam property and multi-valued maps
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Regular