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Communications in Algebra Volume 27, 1999 - Issue 9

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Original Articles

The derived subgroup of a group with commutators of bounded order can be non-periodic

G.S. Deryabina Department of Computational Mathematics and Mathematical Physics, Moscow State Technical University, 5 Vtoraya Baumanskaya St, Moscow, Russia

P.A. Kozhevnikov Department of Higher Algebra, Moscow State University, Vorob'evy Gory, Moscow, Russia

Pages 4525-4530 | Received 01 Aug 1998, Published online: 27 Jun 2007

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https://doi.org/10.1080/00927879908826712

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Abstract

We prove that for every positive integer k there is N = N(k) such that for every odd n > N there exists a group G satisfying the identity

whose derived subgroup G' is non-periodic. This solves a problem posed by V.D.Mazurov.

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