ON THE EXPONENT OF A VERBAL SUBGROUP IN A FINITE GROUP
2012 ◽
Vol 93
(3)
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pp. 325-332
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AbstractLet $w$ 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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2013 ◽
Vol 23
(01)
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pp. 81-89
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2019 ◽
Vol 100
(2)
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pp. 281-289
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2017 ◽
Vol 16
(03)
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pp. 1750051
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2016 ◽
Vol 94
(2)
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pp. 273-277
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2016 ◽
Vol 26
(05)
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pp. 973-983
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