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Let G be a finite subgroup of SL(n,C), then the quotient C^n/G has aGorenstein canonical singularity. Bridgeland-King-Reid proved that theG-Hilbert scheme Hilb^G(C^3) gives a crepant resolution of the quotient C^3/Gfor any finite subgroup G of SL(3,C). However, in dimension 4, very few crepantresolutions are known. In this paper, we will show several examples of crepantresolutions in dimension 4 and show examples in which Hilb^G(C^4) is blow-up ofcertain crepant resolutions for C^4/G, or Hilb^G(C^4) has singularity.

Crepant resolutions and Hilb^G(C^4) for certain abelian subgroups for SL(4,C)