Let Σb be a compact Riemann surface of genus b≥2 and let P2(Σb)=π1(Σb×Σb−∆) be the corresponding pure braid group on two strands. A finite quotient φ: P2(Σb) −→ G is called admissible if φ does not factor through π1(Σb × Σb). In this work we classify all admissible quotients of P2(Σb) such that |G| ≤ 127.
On finite quotients of surface braid groups having order at most $127$ / Polizzi, Francesco; Sabatino, Pietro. - (2025). [10.48550/arxiv.2512.18817]
On finite quotients of surface braid groups having order at most $127$
Francesco Polizzi;Pietro Sabatino
2025
Abstract
Let Σb be a compact Riemann surface of genus b≥2 and let P2(Σb)=π1(Σb×Σb−∆) be the corresponding pure braid group on two strands. A finite quotient φ: P2(Σb) −→ G is called admissible if φ does not factor through π1(Σb × Σb). In this work we classify all admissible quotients of P2(Σb) such that |G| ≤ 127.File in questo prodotto:
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