6 papers
Decomposability of Finitely Generated Torsion-free Nilpotent Groups
Gilbert Baumslag, Charles F. Miller, Gretchen Ostheimer
We describe an algorithm for deciding whether or not a given finitely generated torsion-free nilpotent group is decomposable as the direct product of nontrivial subgroups.
Localization, metabelian groups, and the isomorphism problem
Gilbert Baumslag, Roman Mikhailov, Kent Orr
If G and H are finitely generated, residually nilpotent metabelian groups, H is termed para-G if there is a homomorphism of G into H which induces an isomorphism between the corres…
Residual properties of groups defined by basic commutators
Gilbert Baumslag, Roman Mikhailov
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 quot…
A new look at finitely generated metabelian groups
Gilbert Baumslag, Roman Mikhailov, Kent E. Orr
A group is metabelian if its commutator subgroup is abelian. For finitely generated metabelian groups, classical commutative algebra, algebraic geometry and geometric group theory,…
Finitely presented subgroups of automatic groups and their isoperimetric functions
Gilbert Baumslag, Martin Bridson, Charles Miller +1
We describe a general technique for embedding certain amalgamated products into direct products. This technique provides us with a way of constructing a host of finitely presented…
Musings on Magnus
Gilbert Baumslag
The object of this paper is to describe a simple method for proving that certain groups are residually torsion-free nilpotent, to describe some new parafree groups and to raise som…