Generalized Euclidean rings and the Andrews-Curtis conjecture

BARMAK, JONATHAN ARIEL

Congreso; 2nd International Meeting on Geometric Group Theory and Low Dimensional Topology; 2020

We will use an example by Evans of a matrix M ∈ GL2(Z[X±1, Y ±1]) which is not a product of elementary and diagonal matrices to construct presentations P, Q which are not Q∗-equivalent, though they are simple homotopy equivalent. In fact they are Q∗∗-equivalent as proved by Fernández