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Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind

✍ Scribed by Walter Möhres


Book ID
112494867
Publisher
Springer
Year
1990
Tongue
English
Weight
220 KB
Volume
54
Category
Article
ISSN
0003-889X

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Torsionsgruppen, deren Untergruppen alle
✍ Walter Möhres 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 347 KB

We prove that a group, which is the extension ofa nilpotent torsion group by a soluble group of finite exponent and all of whose subgroups are subnormal, is nilpotent. The problem can be easily reduced to the investigation of extensions of abelian torsion groups 1by elementary abelian p-groups with