A free subgroup in the image of the 4-strand Burau representation

DOI10.1142/S0218216515500650zbMath1360.20031arXiv1304.7923OpenAlexW1757112730MaRDI QIDQ3454608

Stefan Witzel, Matthew C. B. Zaremsky

Publication date: 25 November 2015

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7923

zbMATH Keywords

free groupBurau representationbraid groupbuildingping-pong

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Groups with a (BN)-pair; buildings (20E42)

Related Items

Burau representation for n = 4 ⋮ On the Burau representation of B4

Cites Work

• Unnamed Item
• A strong Schottky lemma for nonpositively curved singular spaces
• A path model for geodesics in Euclidean buildings and its applications to representation theory
• Intersections of apartments
• Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
• On the homotopy type of subcomplexes of Tits buildings
• A presentation for the image of Burau\((4)\otimes Z_2\)
• The Burau representation is not faithful for \(n=5\)
• The Burau representation is not faithful for \(n\geq 6\)
• Reductive groups over a local field
• The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛
• DOES THE JONES POLYNOMIAL DETECT THE UNKNOT?
• On knot groups