A transmission system for a vehicle including a drive, at least one wheel and at least one brake having an ABS system. The drive is configured to drive the at least one wheel and the at least one brake is configured to brake the at least one wheel. The power transmission system is configured to also drive the at least one wheel braked by the at least one brake during a braking process, which enters a control range of the ABS system, at the same time using a drive torque.