Title: Subextensions for co-induced modules,
Abstract: Using cohomological methods, we prove a criterion for the embedding of a
group extension with abelian kernel into the split extension of a co-induced
module. This generalises some earlier similar results. We also prove an
assertion about the conjugacy of complements in split extensions of co-induced
modules. Both results follow from a relation between homomorphisms of certain
cohomology groups.