Locally nilpotent linear groups with the weak chain conditions on subgroups of infinite central dimension.

DOI10.5565/PUBLMAT_52108_07zbMath1149.20030OpenAlexW2069953973MaRDI QIDQ932952

José M. Muñoz-Escolano, Leonid A. Kurdachenko

Publication date: 21 July 2008

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

Full work available at URL: https://eudml.org/doc/42267

zbMATH Keywords

locally nilpotent groupsinfinite-dimensional linear groupsminimax groupsweak chains conditionsweak maximal conditionweak minimal condition

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over fields (20H20)

Related Items (6)

On modules over group rings of nilpotent groups. ⋮ On some infinite dimensional linear groups. ⋮ Infinite dimensional linear groups with many \(G\)-invariant subspaces. ⋮ Subgroups of a finitary linear group ⋮ Locally nilpotent linear groups with restrictions on their subgroups of infinite central dimension. ⋮ Unnamed Item

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