ON SOME INFINITE DIMENSIONAL LINEAR GROUPS

DOI10.1081/AGB-100001521zbMath0989.20037OpenAlexW2035826924MaRDI QIDQ2749038

Igor Ya. Subbotin, Leonid A. Kurdachenko

Publication date: 21 February 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100001521

zbMATH Keywords

Abelian-by-finite groupshypercentral groupsFC-hypercentral groupsgeneral linear groups over infinite-dimensional vector spaces

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generalizations of solvable and nilpotent groups (20F19) FC-groups and their generalizations (20F24)

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Cites Work

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• Groups whose proper quotients have finite derived subgroups
• Products of Abelian groups
• Groups whose proper quotients are FC-groups
• Some properties of groups inherited by normal subgroups of finite index
• A dual approach to Černikov modules
• Injective modules and soluble groups satisfying the minimal condition for normal subgroups