Gauging of d = 11 supergravity?

The role of antisymmetric tensor fields in the gauging of groups is related to theorems on cohomology theory, and Cartan integrable systems are discussed. Examples are given. Various possibilities to gauge d = 11 supergravity by decontracting its underlying group are considered. In particular the simple supergroups Osp (1 | 64) and SU(32 | 1) yield a negative result, but a certain non-semisimple supergroup containing Osp (1 | 32) is proposed as a viable candidate. The corresponding action would no longer contain the 3-index photon A_{μνρ{variant}}, but instead a second spin 3 2 field η_μ and boson fields B_μ^a1a2 and B_μ^a1...a5. A first order formalism for d = 11 is presented. It is to be used for an improved form of dimensional reduction.