  We study the image of a transfer homomorphism in the stable homotopy groups
of spheres. Actually, we show that an element of order 8 in the 18 dimensional
stable stem is in the image of a double transfer homomorphism, which reproves a
result due to P J Eccles that the element is represented by a framed
hypersurface. Also, we determine the image of the transfer homomorphism in the
16 dimensional stable stem.
