Ana Paula Escada; Jorge Almeida;
Semidirect products with pseudovariety of all finite groups
This is a survey of recent results related to semidirect products of an arbitrary pseudovariety with the pseudovariety of all finite groups. The main flavour is the establishment of links between various operators on pseudovarieties, some obviously computable, others known not to be so. This not only leads to decidability results but does so in a sort of uniform way which has a structural tint even though the arguments are mostly syntactical.
Proceedings of the International Colloquium on Words, Languages and Combinatorics