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Commutators in Residually Finite Groups

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Abstract.

 The following result is proved. Let G be a residually finite group satisfying the identity ([x 1, x 2][x 3, x 4])n ≡ 1 for a positive integer n that is not divisible by p 2 q 2 for any distinct primes p and q. Then G′ is locally finite.

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  1. University of Brasilia, Brazil, , , , , , BR

    Pavel Shumyatsky

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  1. Pavel Shumyatsky
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Received 7 May 2001; in revised form 3 December 2001

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Shumyatsky, P. Commutators in Residually Finite Groups. Monatsh. Math. 137, 157–165 (2002). https://doi.org/10.1007/s006050200049

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  • DOI: https://doi.org/10.1007/s006050200049

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