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The conductivity of the high magnetic field insulating phases of two-dimensional electron and hole systems (2DES and 2DHS) of sufficiently low disorder exhibits a resonance at microwave frequency. We present and compare results on this resonance in a moderate disorder 2DES and in a high quality 2DHS. The 2DES exhibits the resonance even though the high-B insulator is not reentrant around the 1 5...