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TheFPm-Conjecture for a Class of Metabelian Groups

✍ Scribed by Dessislava H. Kochloukova

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 342 KB
Volume: 184
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0306

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✦ Synopsis

We prove that if A ª G ª Q is a short exact sequence of groups where G is finitely generated, A and Q are abelian, A is a ‫-ޚ‬torsion Krull dimension one ‫ޚ‬Q-module via conjugation then the FP -Conjecture holds. In general if G is of m type FP and either the extension is split or A is ‫-ޚ‬torsion we show that A is m m-tame as ‫ޚ‬Q-module.

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