Stable ergodicity of skew products

Stable ergodicity is dense among compact Lie group extensions of Anosov dif feomorphisms of compact manifolds. Under the additional assumption that the base map acts on an infranilmanifold, an extension that is not stably ergo dic must have a factor that has one of three special forms. A consequence i s that stable ergodicity and stable ergodicity within skew products are equ ivalent in this case. (C) Elsevier, Paris.