Matrix representation for the braid group \(B_4\)

DOI10.1007/BF01224989zbMath0432.20034OpenAlexW2036938996MaRDI QIDQ1138642

Siegfried Moran

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224989

zbMATH Keywords

Burau representationbraid groupresidually torsion-free nilpotent group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26)

Related Items (7)

Some free groups of matrices and the Burau representation of B₄ ⋮ Some subgroups of \(GL_ 3\) ⋮ Low-dimensional representations of \(\text{Aut}(F_ 2)\) ⋮ REPRESENTATIONS OF BRAID GROUPS VIA CONJUGATION ACTIONS ON CONGRUENCE SUBGROUPS ⋮ On the linearity of automorphism groups of free groups ⋮ Revisiting matrix representations of the braid group ⋮ On the Burau representation of B4

Cites Work

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• Über Zopfgruppen und gleichsinnig verdrillte Verkettungen
• Two generator discrete free products
• Free subgroups in linear groups
• Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung \(x^2+y^2+z^2=xyz\).
• On knot groups
• On braid groups

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