Linear groups with the maximal condition on subgroups of infinite central dimension.

DOI10.5565/PUBLMAT_50106_06zbMath1132.20029OpenAlexW2024790361MaRDI QIDQ2458370

Igor Ya. Subbotin, Leonid A. Kurdachenko

Publication date: 31 October 2007

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41543

zbMATH Keywords

general linear groups over infinite-dimensional vector spacesinfinite-dimensional soluble linear groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Other matrix groups over fields (20H20)

Related Items (14)

Modules over group rings of groups with restrictions on the system of all proper subgroups ⋮ Linear groups with rank restrictions on the subgroups of infinite central dimension. ⋮ On modules over group rings of nilpotent groups. ⋮ Unnamed Item ⋮ Modules over integral group rings of locally soluble groups with minimax restriction. ⋮ Modules over group rings of soluble groups with a certain condition of maximality. ⋮ On a class of modules over group rings of soluble groups with restrictions on some systems of subgroups. ⋮ On some infinite dimensional linear groups. ⋮ Infinite dimensional linear groups with many \(G\)-invariant subspaces. ⋮ Subgroups of a finitary linear group ⋮ Periodic Linear Groups with the Weak Chain Conditions on Subgroups of Infinite Central Dimension ⋮ Locally nilpotent linear groups with restrictions on their subgroups of infinite central dimension. ⋮ Unnamed Item ⋮ Unnamed Item

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