Equivariant Sufficiency and Stability / I. A. Proskurnin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 4. P. 56-60 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 158-161].
An equivariant version of Tougerone's finite determinacy theorem along with a criterion for stability of an invariant germ are proved.
Key words: singularity theory, invariant functions, stable singularities, Tougeron's theorem.