2 papers
math.GR2026
An explicit non-elementary matrix over a bivariate Laurent polynomial ring
Vasiliy Ionin, Artem Semidetnov
Let be the fraction field of a discrete valuation ring. We give an explicit matrix in . The pro…
math.GR2021
Action of automorphisms of pure braid groups on homotopy groups of two-sphere
Ilya Alekseev, Vasily Ionin, Mikhail Mikhailov
We examine the Moore complex of the Delta-group structure related to the pure braid groups and introduced by Berrick, Cohen, Wong, and Wu. We prove that the cycle and the boundary…