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The out-of-plane g-factor g_perp for quasi-2D holes in a (100) GaAsheterostructure is studied using a variable width quantum wire. A directmeasurement of the Zeeman splitting is performed in a magnetic field appliedperpendicular to the 2D plane. We measure an out-of-plane g-factor up to g_perp= 5, which is larger than previous optical studies of g_perp, and isapproaching the long predicted but never experimentally verified out-of-planeg-factor of 7.2 for heavy holes.

Using a tunable quantum wire to measure the large out-of-plane spin splitting of quasi two-dimensional holes in a GaAs nanostructure