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A nuclear magnetic resonance (NMR) study is reported of multiple (30)Al$_{0.13}$Ga$_{0.87}$As quantum well (QW) sample near the Landau level fillingfactor $\nu =1$. In these Al$_{0.13}$Ga$_{0.87}$As QWs the effective $g$ factoris nearly zero. This can lead to two effects: vanishing electronic polarization$(P)$ and skyrmionic excitations composed of a huge number of spins. As small$P$ values cause an overlap of the NMR signals from the QW and barriers, aspecial technique was employed to allow these two signals to be distinguished.The QW signal corresponds to a small, negative, and very broad distribution ofspin polarization that exhibits thermally induced depolarization. Such adistribution can be attributed to sample inhomogeneities and/or to largeskyrmions, the latter possibility being favored by observation of a very fast$T_{2}^{-1}$ rate.

NMR Study of Large Skyrmions in Al_{0.13}Ga_{0.87}As Quantum Wells