EUDML

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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On distal and equicontinuous compact right topological groups.

Multiplicative polynomials and Fermat's little theorem for non-primes.

The Bohr Almost Periodic Functions Do Not Form a Linear Space.

The weakly almost periodic compactification: Another approach.

Minimal and distal functions on some non-Abelian groups.

Minimal and distal functions on semidirect products of groups II.

Almost periodic compactifications of direct and semidirect products

Minimal and distal functions on semidirect products of groups

The $L M C$ -compactification of a topologized semigroup

Almost periodic compactifications of group extensions