E. M. A. El-Zayat and M. H. Armanious
Construction for subdirectly irreducible sloops of cardinality n2^m

Guelzow and similarly Armanious gave generalized doubling constructions to construct nilpotent subdirectly irreducible SQS-skeins and sloops. In the previous paper the authors have given recursive construction theorems as n-->2n for subdirectly irreducible sloops and SQS-skeins, these constructions supplies us with a subdirectly irreducible sloop of cardinality 2n satisfying that the cardinality of the congruence class of its monolith is equal to 2. In this article, we give a construction for subdirectly irreducible sloops of cardinality n2^m having a monolith with a congruence class of cardinality 2^m. This construction supplies us with the fact that each sloop is isomorphic to the homomorphic image of the constructed subdirectly irreducible sloop over its monolith.