paper

A note on finite determinacy of matrices

arXiv:2008.13208

Abstract

In this note, we give a necessary and sufficient condition for a matrix A in M to be finitely G-determined, where M is the ring of 2 x 2 matrices whose entries are formal power series over an infinite field, and G is a group acting on M by change of coordinates together with multiplication by invertible matrices from both sides.

6 pages, final version, to appear in the PAMQ special issue in honor of Professor Gert-Martin Greuel's 75th birthday