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On universal nilpotent groups

✍ Scribed by Berthold J. Maier


Publisher
Springer
Year
1989
Tongue
English
Weight
277 KB
Volume
26
Category
Article
ISSN
0002-5240

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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-Ε½ quence, similar to a well-known result of P. Hall 195