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The steady-state equations which describe the asynchronous and synchronous actions in a general polyphase induction machine are derived. The conditions for synchronous action at standstill and at some finite rotor speed between two harmonics are identified. It is concluded that every pair of harmonics belonging to the same set of a-P components produces synchronous action, conversely every pair of harmonics which produces synchronous action belongs to the same set of a-P components. This also confirms that the harmonics of each set of a-P components are not separable.