143 research outputs found
On the Exponent of a Verbal Subgroup in a Finite Group
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.Comment: Accepted for publication in the Journal of the Australian
Mathematical Societ
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