A[G]-equivalence generalizes Mather's right-left equivalence to G-structures, and it coincides with G-congruence exactly when the G-preserving infinitesimal vector fields are linear.
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Geometric equivalence among smooth map germs
A[G]-equivalence generalizes Mather's right-left equivalence to G-structures, and it coincides with G-congruence exactly when the G-preserving infinitesimal vector fields are linear.