On a factorization of an iterated wreath product of permutation groups

Autor: Bajorska, B., Sushchansky, V.
Zdroj: Scopus-Elsevier
Popis: 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.
Databáze: OpenAIRE