On modules over integer-valued group rings of locally soluble groups with rank restrictions imposed on subgroups.

DOI10.1007/S11253-012-0585-5zbMath1269.20002OpenAlexW2010179755MaRDI QIDQ1759985

Olga Yu. Dashkova

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0585-5

zbMATH Keywords

group ringslocally soluble groupsAbelian section rankspecial rank

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19)

Related Items (1)

On the existence of multiple solutions of a class of third-order nonlinear two-point boundary value problems

Cites Work

• Linear groups with rank restrictions on the subgroups of infinite central dimension.
• The structure of groups of finitary transformations
• Linear groups with the minimal condition on subgroups of infinite central dimension.
• The Schur property and groups with uniform conjugacy classes
• Radical groups of finite Abelian subgroup rank
• ON MODULES OVER GROUP RINGS OF LOCALLY SOLUBLE GROUPS WITH RANK RESTRICTIONS ON SOME SYSTEMS OF SUBGROUPS
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