Clifford theory for \(G\)-functors (Q1585305)

The authors introduce based \(G\)-functors and give a necessary and sufficient condition for the existence of a Clifford theory for based \(G\)-functors. The axiomatic Clifford theorem applies to the character ring functor, the \(G\)-functor defined by the group ring of the group \(G\) over the integers, cohomological based \(G\)-functors, the Burnside ring functor, relatively free based \(G\)-functors, and non-Abelian \(G\)-groups.