Linear groups with rank restrictions on the subgroups of infinite central dimension.

DOI10.1016/J.JPAA.2006.04.002zbMath1112.20030OpenAlexW2052751975MaRDI QIDQ860416

Olga Yu. Dashkova, Martyn R. Dixon, Leonid A. Kurdachenko

Publication date: 9 January 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.04.002

zbMATH Keywords

finitely generated subgroupsnumbers of generatorslocally soluble groupsrank restrictionsinfinite-dimensional groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Representations of groups as automorphism groups of algebraic systems (20F29) Derived series, central series, and generalizations for groups (20F14) Other matrix groups over fields (20H20)

Related Items (10)

ON MODULES OVER GROUP RINGS OF LOCALLY SOLUBLE GROUPS WITH RANK RESTRICTIONS ON SOME SYSTEMS OF SUBGROUPS ⋮ Unnamed Item ⋮ Solvable groups of finite metabelian rank ⋮ Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks ⋮ On modules over integer-valued group rings of locally soluble groups with rank restrictions imposed on subgroups. ⋮ On a class of modules that are close to Noetherian. ⋮ Infinite dimensional linear groups with many \(G\)-invariant subspaces. ⋮ Subgroups of a finitary linear group ⋮ Unnamed Item ⋮ О некоторых классах групп конечного метабелева ранга

Cites Work

• The structure of groups of finitary transformations
• Products of Abelian groups
• Linear groups with the minimal condition on subgroups of infinite central dimension.
• The Schur property and groups with uniform conjugacy classes
• Linear groups with the maximal condition on subgroups of infinite central dimension.
• Radical groups of finite Abelian subgroup rank
• Note on extensions of Abelian groups by primary groups
• A class of modules over a locally finite group III
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Linear groups with rank restrictions on the subgroups of infinite central dimension.