A (locally nilpotent)-by-nilpotent variety of groups
SHUMYATSKY, PAVEL; SHUMYATSKY PAVEL; University of Brasilia
Журнал:
Mathematical Proceedings of the Cambridge Philosophical Society
Дата:
2002
Аннотация:
Given positive integers k and n, let 𝔛 be the class of all groups G such that γk(G) is locally nilpotent and [x1, x2, …, xk]<sup>n</sup> = 1 for any x1, x2, …, xk ∈ G. It is shown that 𝔛 is a variety.
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