On the isomorphism problem for knit products
Noureddine Snanou · Discussiones Mathematicae - General Algebra and Applications · 2024
In this paper, we classify up to isomorphism the groups that can be represented as knit products of two groups.More precisely, some necessary and sufficient conditions for two knit products to be isomorphic are given.We mainly deal with isomorphisms leaving one of the two factors or even both invariant.In particular, we decide under some conditions how the knit products arise as split extensions.Furthermore, the decomposition of unfaithful knit products is investigated.