Recognizing powers in nilpotent groups and nilpotent images of free groups

Author:

Baumslag Gilbert

Abstract

AbstractAn element in a free group is a proper power if and only if it is a proper power in every nilpotent factor group. Moreover there is an algorithm to decide if an element in a finitely generated torsion-free nilpotent group is a proper power.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Some sufficient condtions for a group to be nilpotent;Hall;Illinois J. Math.,1958

2. The algorithmic theory of polycyclic-by-finite groups

3. Errata and addenda to “A subgroup theorem for free nilpotent groups;Moran;Trans. Amer. Math. Soc.,1964

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1. Residual properties of groups defined by basic commutators;Groups, Geometry, and Dynamics;2014

2. Hydra groups;COMMENT MATH HELV;2013

3. Some reflections on proving groups residually torsion-free nilpotent. I;Illinois Journal of Mathematics;2010-01-01

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