Commutators in Residually Finite Groups |
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| Authors: | Pavel Shumyatsky |
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| Affiliation: | (1) University of Brasilia, Brazil, BR |
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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. Received 7 May 2001; in revised form 3 December 2001 |
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| Keywords: | 2000 Mathematics Subject Classification: 20E26, 20F40 20F50 |
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