Hypercentral unipotent finitary skew linear groups

DOI10.1080/00927879408824886zbMath0802.20044OpenAlexW2078808451MaRDI QIDQ4288249

Felix Leinen

Publication date: 14 December 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408824886

zbMATH Keywords

FC-groupsupper central seriesascending seriesunipotent subgroupsstability subgroupfinitary skew linear groupdescending seriesfull finitary groupsubdirect product of nilpotent groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (6)

Faithful linear representations of certain free nilpotent groups ⋮ Hirsch-Plotkin radical of stability groups. ⋮ Free products of finitary linear groups ⋮ FINITE-FINITARY GROUPS OF AUTOMORPHISMS ⋮ Periodic Groups Covered by Transitive Subgroups of Finitary Permutations or by Irreducible Subgroups of Finitary Transformations ⋮ The similarity between finitary and Artinian-finitary groups.

Cites Work

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• The structure of groups of finitary transformations
• Nilpotence in finitary skew linear groups
• Groups of finitary permutations
• Remarks on the Upper Centralc Series of a Group
• Locally Nilpotent Finitary Skew Linear Groups
• Irreducible locally nilpotent finitary skew linear groups
• Cohn's embedding of an enveloping algebra into a division ring

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