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This article is cited in 1 scientific paper (total in 1 paper)
Residual properties of groups defined by basic commutators
G. Baumslaga, R. Mikhailovbc a 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.
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Abstract page: | 44 |
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