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

DOI10.1016/j.jalgebra.2004.02.029zbMath1055.20042OpenAlexW2017257293MaRDI QIDQ1879640

Martin J. Evans, Martyn R. Dixon, Leonid A. Kurdachenko

Publication date: 23 September 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.029

zbMATH Keywords

finitary linear groupslocally soluble groupsChernikov groupsminimal condition on subgroupsalmost soluble groupsgeneral linear groups over infinite dimensional spaces

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Other classes of groups defined by subgroup chains (20F22) Local properties of groups (20E25) Other matrix groups over fields (20H20)

Related Items (17)

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 an analogue of a theorem of P. Hall for infinite dimensional linear groups ⋮ 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 some infinite dimensional linear groups. ⋮ On modules over integer-valued group rings of locally soluble groups with rank restrictions imposed on subgroups. ⋮ Infinite dimensional linear groups with many \(G\)-invariant subspaces. ⋮ Subgroups of a finitary linear group ⋮ Antifinitary linear groups ⋮ 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 ⋮ On a class of modules over group rings of locally soluble groups.

Cites Work

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• A note on groups with nilpotent-by-finite proper subgroups
• Strong finiteness conditions in locally finite groups
• Metanilpotent groups satisfying the minimal condition for normal subgroups
• Locally Solvable Finitary Linear Groups
• Fixed Points of Automorphisms of Certain Locally Finite Groups and Chevalley Groups

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