On modules over group rings of nilpotent groups.

DOI10.1007/s11253-012-0626-0zbMath1266.20002OpenAlexW2135698661MaRDI QIDQ1933306

Olga Yu. Dashkova

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0626-0

zbMATH Keywords

nilpotent groupsminimax groupsgeneralized soluble groupsmodules over group ringscocentralizers of subgroups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22)

Related Items (1)

On submodules of modules over group rings

Cites Work

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• Locally nilpotent linear groups with the weak chain conditions on subgroups of infinite central dimension.
• Nonperiodic FC-groups and related classes of locally normal groups and torsionfree Abelian groups
• The structure of groups of finitary transformations
• Linear groups with the minimal condition on subgroups of infinite central dimension.
• Linear groups with the maximal condition on subgroups of infinite central dimension.
• Polyminimaxgruppen
• Gruppen, die einer schwachen Minimalitätsbedingung genügen
• Fixed Points of Automorphisms of Certain Locally Finite Groups and Chevalley Groups
• Periodic Linear Groups with the Weak Chain Conditions on Subgroups of Infinite Central Dimension

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