  The ring of classic Witt vectors is a fundamental object in mixed
characteristic commutative algebra which has many applications in number
theory. There is a significant generalization due to Dress and Siebeneicher
which for any profinite group G produces a ring valued functor W_G, where the
classic Witt vectors are recovered as the example G = Z_p. This article
explores the structure of the image of this functor where G is the pro-2 group
formed by taking the inverse limit of 2-power dihedral groups, and the image of
W_G is taken on a field of characteristic 2.
