We are conducting a deep near-infrared ( NIR ) imaging survey of young embedded clusters in the extreme outer Galaxy ( hereafter EOG ) , at the Galactic radius ( R _ { g } ) of more than 18 kpc .
The EOG is an excellent laboratory to study the nature of the IMF in a low-metallicity environment with a great advantage of the proximity compared to nearby dwarf galaxies , such as LMC & SMC .
As a first step , we obtained deep NIR images of Digel Cloud 2 clusters at R _ { g } \simeq 19 kpc using the Subaru 8.2-m telescope .
The observed K -band luminosity function shows that IMF in the low metallicity environment down to \sim 0.1 M _ { \odot } is not significantly different from the typical IMFs in the field and in the nearby star clusters as was suggested in our earlier work ( Yasui et al . 2006 ) .