A (locally nilpotent)-by-nilpotent variety of groups
Copyright policy )A (locally nilpotent)-by-nilpotent variety of groups
Given positive integers k and n, let [Xfr ] be the class of all groups G such that γk(G) is locally nilpotent and [x1, x2, …, xk]n = 1 for any x1, x2, …, xk ∈ G. It is shown that [Xfr ] is a variety.
- University of Brasília Brazil
Commutator calculus, Generalizations of solvable and nilpotent groups, Lie PI-algebras, Lazard-Zassenhaus Lie algebras, locally nilpotent groups, restricted Burnside problem, derived series, Quasivarieties and varieties of groups, commutators, Derived series, central series, and generalizations for groups, Associated Lie structures for groups, Periodic groups; locally finite groups, varieties of groups, dimension subgroups
Commutator calculus, Generalizations of solvable and nilpotent groups, Lie PI-algebras, Lazard-Zassenhaus Lie algebras, locally nilpotent groups, restricted Burnside problem, derived series, Quasivarieties and varieties of groups, commutators, Derived series, central series, and generalizations for groups, Associated Lie structures for groups, Periodic groups; locally finite groups, varieties of groups, dimension subgroups
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