ON AN ACTION OF THE BRAID GROUP B2g+2ON THE FREE GROUP F2g

DOI10.1142/S0218196713400110zbMath1273.20030arXiv1204.2377MaRDI QIDQ2842022

Christian Kassel

Publication date: 30 July 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2377

zbMATH Keywords

symplectic groupsmodular groupfree groupsactions of braid groupsramified coverings

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (3)

On Representations of Braids as Automorphisms of Free Groups and Corresponding Linear Representations ⋮ A braid-like presentation of the integral Steinberg group of type \(C_2\) ⋮ Braid groups and symplectic Steinberg groups

Cites Work

• Sturmian morphisms, the braid group \(B_4\), Christoffel words and bases of \(F_2\)
• Eine Präsentation der symplektischen Gruppe Sp(4,Z) mit 2 Erzeugenden und 8 definierenden Relationen
• Die Abbildungen der Brezelfläche und der Vollbrezel vom Geschlecht 2
• Eine endliche Präsentation der symplektischen Gruppe \(Sp_4(Z)\)
• Über topologische Abbildungen der Brezelfläche vom Geschlecht 2
• On Siegel's modular group
• Braids, Links, and Mapping Class Groups. (AM-82)
• Braid Groups
• On a theorem of V. I. arnol'd

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