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pro vyhledávání: '"Baumslag, Gilbert"'
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.
Externí odkaz:
http://arxiv.org/abs/1510.05632
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 corresponding terms of their lower central quotient groups. We prove that th
Externí odkaz:
http://arxiv.org/abs/1301.5533
Autor:
Baumslag, Gilbert, Mikhailov, Roman
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 c
Externí odkaz:
http://arxiv.org/abs/1301.4629
A group is metabelian if its commutator subgroup is abelian. For finitely generated metabelian groups, classical commutative algebra, algebraic geometry and geometric group theory, especially the latter two subjects, can be brought to bear on their s
Externí odkaz:
http://arxiv.org/abs/1203.5431
Publikováno v:
Transactions of the American Mathematical Society, 2017 Oct 01. 369(10), 6823-6852.
Externí odkaz:
https://www.jstor.org/stable/90011748
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 subgroups of automatic groups which are not even asynchronously automa
Externí odkaz:
http://arxiv.org/abs/math/9605201
Autor:
Baumslag, Gilbert
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 some new problems in honour of the memory of Wilhelm Magnus.
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Externí odkaz:
http://arxiv.org/abs/math/9305201
Autor:
Baumslag, Gilbert, Cannonito, Frank B.
Publikováno v:
Transactions of the American Mathematical Society, 1994 Aug 01. 344(2), 629-648.
Externí odkaz:
https://www.jstor.org/stable/2154499