Minimal generating set and a structure of the wreath product of groups, and the fundamental group of the orbit Morse function.
DOI:
https://doi.org/10.31558/1817-2237.2019.1-2.10Keywords:
wreath product of group, minimal generating set of commutator subgroup of wreath product of groups, center of non regular wreath product, semidirect product, fundamental group of orbits of one Morse function, groups of diffeomorphisms acting on the MobiusAbstract
The quotient group of the restricted and unrestricted wreath product by its commutator is found. The generic sets of commutator of wreath product were investigated.
The structure of wreath product with non-faithful group action is investigated.
Given a permutational wreath product sequence of cyclic groups, we investigate its minimal generating set, the minimal generating set for its commutator and some properties of its commutator subgroup.
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