Article
Licensed
Unlicensed
Requires Authentication
Metabelian Product of a Free Nilpotent Group with a Free Abelian Group
-
Margaret H. Dean
Published/Copyright:
March 10, 2010
If two groups are residually-𝑃, their free product is not necessarily so; however, it is known that the free product of residually torsion-free nilpotent groups is again residually torsion-free nilpotent. In this paper it is shown that the free metabelian product of a free nilpotent group of class two with a free abelian group is residually torsion-free nilpotent.
Keywords:: Free product; free metabelian product; residually torsion-free nilpotent; metabelian groups
Received: 2009-04-06
Revised: 2009-09-24
Published Online: 2010-03-10
Published in Print: 2009-October
© Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- The Word and Conjugacy Problem for Shuffle Groups
- Torsion-free Abelian Factor Groups of the Baumslag-Solitar Groups and Subgroups of the Additive Group of the Rational Numbers
- Metabelian Product of a Free Nilpotent Group with a Free Abelian Group
- Almost Locally Free Groups and a Theorem of Magnus: Some Questions
- Authentication from Matrix Conjugation
- The Tits Alternative for Tsaranov's Generalized Tetrahedron Groups
- Decision and Search in Non-Abelian Cramer-Shoup Public Key Cryptosystem
- A Note on the Shifted Conjugacy Problem in Braid Groups
- Algebraic Attacks Galore!
- Space Complexity and Word Problems of Groups
- A Practical Attack on a Certain Braid Group Based Shifted Conjugacy Authentication Protocol
- Existence and Non-Existence of Torsion in Maximal Arithmetic Fuchsian Groups
- Power-Commutative Nilpotent R-Powered Groups
- On the Universal Theory of Torsion and Lacunary Hyperbolic Groups
Keywords for this article
Free product;
free metabelian product;
residually torsion-free nilpotent;
metabelian groups
Articles in the same Issue
- The Word and Conjugacy Problem for Shuffle Groups
- Torsion-free Abelian Factor Groups of the Baumslag-Solitar Groups and Subgroups of the Additive Group of the Rational Numbers
- Metabelian Product of a Free Nilpotent Group with a Free Abelian Group
- Almost Locally Free Groups and a Theorem of Magnus: Some Questions
- Authentication from Matrix Conjugation
- The Tits Alternative for Tsaranov's Generalized Tetrahedron Groups
- Decision and Search in Non-Abelian Cramer-Shoup Public Key Cryptosystem
- A Note on the Shifted Conjugacy Problem in Braid Groups
- Algebraic Attacks Galore!
- Space Complexity and Word Problems of Groups
- A Practical Attack on a Certain Braid Group Based Shifted Conjugacy Authentication Protocol
- Existence and Non-Existence of Torsion in Maximal Arithmetic Fuchsian Groups
- Power-Commutative Nilpotent R-Powered Groups
- On the Universal Theory of Torsion and Lacunary Hyperbolic Groups
