Посилання:On a factorization of an iterated wreath product of permutation groups / B. Bajorska, V. Sushchansky // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 14–26. — Бібліогр.: 12 назв. — англ.
We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples.