Multilinear commutators in residually finite groups

2010/12/13 by Shumyatsky, Pavel
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1012.2840

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.

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