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Almost periodic compactifications of group extensions

H. D. JunghennPaul Milnes — 2002

Czechoslovak Mathematical Journal

Let N and K be groups and let G be an extension of N by K . Given a property 𝒫 of group compactifications, one can ask whether there exist compactifications N ' and K ' of N and K such that the universal 𝒫 -compactification of G is canonically isomorphic to an extension of N ' by K ' . We prove a theorem which gives necessary and sufficient conditions for this to occur for general properties 𝒫 and then apply this result to the almost periodic and weakly almost periodic compactifications of G .

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