Periodic-by-nilpotent linear groups.

DOI10.4171/RSMUP/124-8zbMath1218.20034MaRDI QIDQ624851

Bertram Arthur Frederick Wehrfritz

Publication date: 10 February 2011

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/241836

zbMATH Keywords

locally finite groupsEngel conditionslower central serieslinear groupsupper central seriescombinatorial conditions on infinite subsetsfinitely generated soluble-by-finite groupsperiodic-by-nilpotent groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) Engel conditions (20F45) Other matrix groups over fields (20H20)

Cites Work

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• Periodic normal subgroups of linear groups
• On the holomorphs of soluble groups of finite rank
• A note on torsion-by-nilpotent groups.
• Hypercentral Unipotent Subgroups of Linear Groups

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