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Metabelian Product of a Free Nilpotent Group with a Free Abelian Group

Metabelian Product of a Free Nilpotent Group with a Free Abelian Group 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups - Complexity - Cryptology de Gruyter

Metabelian Product of a Free Nilpotent Group with a Free Abelian Group

Groups - Complexity - Cryptology , Volume 1 (2) – Oct 1, 2009

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Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1867-1144
eISSN
1869-6104
DOI
10.1515/GCC.2009.169
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Groups - Complexity - Cryptologyde Gruyter

Published: Oct 1, 2009

Keywords: Free product; free metabelian product; residually torsion-free nilpotent; metabelian groups

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