A Modified Alloy Analogy (MAA) for the single-band Hubbard model is used to investigate the interplay of ferromagnetic order and electrical conductivity in a system of itinerant band electrons. The alloy analogy is evaluated within the framework of the Coherent Potential Approximation (CPA). The tensor conductivity, normally a two-particle Green function, can be represented by single-particle terms if CPA-consistent approaches are applied [B.Velicky, Phys. Rev. 184, 614 (1969)]. The MAA is used for fcc and bcc lattices. Spontaneous ferromagnetism appears in the fcc lattice for a more than half-filled energy band (1C. Formal similarity to the spin disorder resistivity of local moment systems is observed.

PACS numbers: 75.10.Lp, 71.27.+a, 72.15.--v, 72.15.Eb