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On stable torsion-free nilpotent groups

✍ Scribed by Claus Grünenwald; Frieder Haug

Publisher: Springer
Year: 1993
Tongue: English
Weight: 687 KB
Volume: 32
Category: Article
ISSN: 0933-5846
DOI: 10.1007/bf01270468

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Let C C be a class of groups, closed under taking subgroups and quotients. We prove that if all metabelian groups of C C are torsion-by-nilpotent, then all soluble groups of C C are torsion-by-nilpotent. From that, we deduce the following conse-Ž quence, similar to a well-known result of P. Hall 195

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