Logical indexing 2d to 3d without a for loop

Hi, this may be a simple question, but any help would be appreciated.

I have an array g = 100 x 5, and a much larger array w = 10000 x 10. I would like to have a 3D array, k = 100 x 10 x 5, where the first page (:,:,1) is the first column of g(:,1) indexing each column of w(:,:). Then my second page (:,:,2) is the second column of g(:,2) indexing each column of w, etc. If possible I would like to avoid a for loop, as I would like to increase the third dimension of k from 5 to 100 or 1000, but for now I would like to make sure I can do it. If a for loop is the only option I have, then that is fine. So far I have tried this:

     for i = 1:5
        k(:,:,i) = w(g(:,i),:);
     end

Does this work? Or is there a better way to do this?

Thank you for the help!