A Note on Finite Determinacy of Matrices
Pure and applied mathematics quarterly(2020)
摘要
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.
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关键词
Equivalence of matrices,finite determinacy,group actions in positive characteristic,tangent image to orbit
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