5 papers
Salter's question on the image of the Burau representation of
Donsung Lee
In 1974, Birman posed the problem of identifying the conditions under which a matrix with Laurent polynomial entries lies in the image of the Burau representation. Building on this…
On the Burau representation of modulo
Donsung Lee
We present an algorithm that, given a prime as input, determines whether or not the Burau representation of the 3-strand braid group modulo is faithful. We also prove that…
Salter's question on the image of the Burau representation of
Donsung Lee
In 1974, Birman posed the question of under what conditions a matrix with Laurent polynomial entries is in the image of the Burau representation. In 1984, Squier observed that the…
Non-linear, solvable, residually groups
Donsung Lee
In 2005, Borisov and Sapir proved that ascending HNN extensions of finitely generated linear groups are residually finite. Subsequently, Druţu and Sapir noted the existence of fini…
Characterizing the kernel of the Burau representation modulo 2 for the 4-strand braid group
Donsung Lee
In 1997, Cooper-Long established the nontriviality of the kernel of the modulo 2 Burau representation for the 4-strand braid group, . This paper extends their work by embeddin…