Extensions of abelian by hyper-(cyclic or ntte) Groups I

DOI10.1080/00927879208824465zbMath0780.20018OpenAlexW2094372083MaRDI QIDQ4013445

Z. Y. Duan

Publication date: 27 September 1992

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879208824465

zbMATH Keywords

decompositioncomplementssplitting of extensionslocally soluble grouphyper-(cyclic or finite) groupsperiodic artinian \(\mathbb{Z} G\)-module

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other classes of groups defined by subgroup chains (20F22) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items (4)

On complementability of certain generalized hypercenters in Artinian modules ⋮ On generalized hypercenters in artinian modules ⋮ The decomposition of artinian modules over hyper-(cyclic or finite) groups ⋮ Extensions of abelian by hyper-(cyclic or finite) groups. II

Cites Work

• Integral group rings of polycyclic-by-finite groups
• On normal subgroups of SI-groups
• Some properties of groups inherited by normal subgroups of finite index

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