Transmission for a Motor Vehicle, Drive Train and Method for Operating a Transmission

A transmission (G) includes an input shaft (GW), an output shaft (GW), an electric machine (EM), a plurality of planetary gear sets (P-PP-P), and gear-implementing shift elements (S-SS-S). Via engagement of a first of the gear-implementing shift elements (S), which is a force-locking shift element having a variable torque transmission capacity, the input shaft (GW) and an element (EE) of one of the planetary gear sets (PP) can be brought into a fixed rotational speed relationship with respect to each other. Another element (EEE) of one of the planetary gear sets (PPP) is permanently connected to a rotor (R) of the electric machine (EM). By engaging an auxiliary shift element (ZS, ZSa, ZSb), which is a form-locking shift element, the rotor (R) and the input shaft (GW) can be brought into a fixed rotational speed relationship with respect to each other.