Residual properties of groups defined by basic commutators

Gilbert Baumslag; Roman Mikhailov

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arXiv · 1301.4629

Residual properties of groups defined by basic commutators

Gilbert Baumslag·Roman Mikhailov

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Abstract

In this paper we study the residual nilpotence of groups defined by basic commutators. We prove that the so-called Hydra groups as well as certain of their generalizations and quotients are, in the main, residually torsion-free nilpotent. By way of contrast we give an example of a group defined by two basic commutators which is not residually torsion-free nilpotent.

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Gilbert Baumslag, Roman Mikhailov. 2013-08-28. Residual properties of groups defined by basic commutators. https://arxiv.org/abs/1301.4629

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