On the Exponent of a Verbal Subgroup in a Finite Group

Pavel Shumyatsky

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arXiv · 1206.4353

On the Exponent of a Verbal Subgroup in a Finite Group

Pavel Shumyatsky

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Abstract

Let w be a multilinear commutator word. We prove that if e is a positive integer and G is a finite group in which any nilpotent subgroup generated by w-values has exponent dividing e then the exponent of the corresponding verbal subgroup w(G) is bounded in terms of e and w only.

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Pavel Shumyatsky. 2012-06-19. On the Exponent of a Verbal Subgroup in a Finite Group. https://arxiv.org/abs/1206.4353

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