Groups with subnormal subgroups of bounded defect

zbMath0621.20012MaRDI QIDQ1090410

Carlo Casolo

Publication date: 1987

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

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1987__77__177_0

zbMATH Keywords

soluble groupswreath productsdefectderived lengthsubnormal subgroupsoluble p-groupperiodic soluble groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Derived series, central series, and generalizations for groups (20F14)

Related Items (1)

Residually nilpotent groups whose closed subgroups are subnormal.

Cites Work

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• Finite soluble groups whose subnormal subgroups have defect at most two
• Groups whose subnormal subgroups have bounded defect
• Periodic soluble groups in which every subnormal subgroup has defect at most two
• Finite soluble groups in which all subnormal subgroups have defect at most 2
• On the theory of subnormal subgroups
• On groups in which every subgroup is subnormal
• Gruppen, in denen das Normalteilersein transitiv ist.
• Groups with the Subnormal Join Property
• Residual Properties of Some Classes of Infinite Soluble Groups
• Wreath Products and Indices of Subnormality
• The subnormal structure of some classes of coluble groups

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