English

Multilinear commutators in residually finite groups

Group Theory 2010-12-14 v1

Abstract

Let w be a multilinear commutator and n a positive integer. Suppose that G is a residually finite group in which every product of at most 896 w-values has order dividing n. Then the verbal subgroup w(G) is locally finite.

Keywords

Cite

@article{arxiv.1012.2840,
  title  = {Multilinear commutators in residually finite groups},
  author = {Pavel Shumyatsky},
  journal= {arXiv preprint arXiv:1012.2840},
  year   = {2010}
}
R2 v1 2026-06-21T16:57:58.512Z