Subnormality in linear groups

DOI10.1016/J.JPAA.2022.107185OpenAlexW4286250652WikidataQ114155343 ScholiaQ114155343MaRDI QIDQ2674533

Francesco de Giovanni, Marco Trombetti, Bertram Arthur Frederick Wehrfritz

Publication date: 14 September 2022

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.2022.107185

zbMATH Keywords

subnormal subgrouplinear groupserial subgroup

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over fields (20H20)

Related Items (6)

Hall classes in linear groups ⋮ Periodic linear groups factorized by mutually permutable subgroups ⋮ Periodic linear groups in which permutability is a transitive relation ⋮ Unnamed Item ⋮ On groups factorized by mutually permutable subgroups ⋮ \(\sigma\)-subnormality in locally finite groups

Cites Work

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• Wielandt's subnormality criterion and linear groups
• On the join of f-subnormal subgroups
• Subnormality, ascendancy, and the minimal condition on subgroups
• Criteria for subnormality
• Linear groups with restricted conjugacy classes
• Criteria for subnormality in finite groups.
• The rank of the automorphism group of a finite group
• The hypercenter of linear groups
• A group with trivial centre satisfying the normalizer condition
• On Periodic Generalized Nilpotent Groups
• The Upper And Lower Central Series In Linear Groups
• Linear groups whose proper subgroups are close to being nilpotent
• Joins of Ascendant Subgroups
• Some generalizations of normal series in infinite groups

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