2021•arXiv (Cornell University)Open access
Normal subgroups of iterated wreath products of symmetric groups and\n alternating with symmetric groups
Ruslan Skuratovskii
Open full text 0 citations
Abstract
Normal subgroups and there properties for finite and infinite iterated wreath\nproducts $S_{n_1}\\wr \\ldots \\wr S_{n_m}$, $n, m \\in \\mathbb{N}$ are founded.\nThe special classes of normal subgroups and there orders are investigated.\nSpecial classes of normal subgroups are investigated and their generators are\nfound and presented in the form of Kaloujnine tables. Inverse limit of wreath\nproduct of permutation groups is found.\n
Open-access reader