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math.GR2024
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…
math.GR2023
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…
math.GR2023
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…