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On multipliers of torsion-free nilpotent groups

✍ Scribed by G. F. Bachurin


Publisher
SP MAIK Nauka/Interperiodica
Year
1969
Tongue
English
Weight
154 KB
Volume
5
Category
Article
ISSN
0001-4346

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On Torsion-by-Nilpotent Groups
✍ GΓ©rard Endimioni; Gunnar Traustason πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 76 KB

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