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Finite-Rank Free Metabelian Subgroups of Finitely Presented Metabelian Groups

✍ Scribed by Ada Peluso

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 148 KB
Volume: 180
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0069

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✦ Synopsis

A sufficient condition is obtained for the residual torsion-free nilpotence of certain finitely presented metabelian groups that arise from a matrix representa-Ž . tion developed by Magnus 1939, Ann. of Math. 40, 764᎐768 for metabelian Ž groups. Using this condition and a construction due to Baumslag 1973, J. Austral.

. Math. Soc. 16, 98᎐110 , we prove that a free metabelian group of finite rank can be embedded in a finitely presented metabelian group that is also residually torsionfree nilpotent.

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