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ЖУРНАЛЫ // Groups, Geometry, and Dynamics // Архив

Groups Geom. Dyn., 2014, том 8, выпуск 3, страницы 621–642 (Mi ggd3)

Эта публикация цитируется в 1 статье

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

Аннотация: 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.

Язык публикации: английский

DOI: 10.4171/GGD/242



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