Infinite dimensional linear groups with many \(G\)-invariant subspaces.

DOI10.2478/S11533-010-0010-YzbMath1207.20048OpenAlexW2003271163MaRDI QIDQ707986

Leonid A. Kurdachenko, Alexey V. Sadovnichenko, Igor Ya. Subbotin

Publication date: 8 October 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0010-y

zbMATH Keywords

periodic groupsinfinite-dimensional linear groupssoluble \(p\)-groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other matrix groups over fields (20H20)

Cites Work

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• Linear groups with rank restrictions on the subgroups of infinite central dimension.
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• Locally nilpotent linear groups with restrictions on their subgroups of infinite central dimension.
• 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.
• Groups with finite classes of conjugate subgroups
• Antifinitary linear groups
• Periodic Linear Groups with the Weak Chain Conditions on Subgroups of Infinite Central Dimension
• On some infinite dimensional linear groups.

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