This article is cited in 1 paper

Residual properties of groups defined by basic commutators

G. Baumslag^a, R. Mikhailov<sup>bc

a</sup> CUNY City Coll
^b Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia
^c St Petersburg State Univ, Chebyshev Lab, St Petersburg 199178, Russia

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.

Language: English

DOI: 10.4171/GGD/242

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