Z' Investigations at Future Lepton Colliders

In this talk I summarize the capability of future lepton colliders to indirectly discover a new $Z^{\mathrm{\prime }}$ and to determine its couplings to the fermions of the Standard Model. The physics associated with sitting on the $Z^{\mathrm{\prime }}$-pole is also briefly discussed. This analysis is based on the results presented in the Snowmass 1996 New Gauge Boson Working Group report.