Conditions for subnormality of a join of subnormal subgroups

DOI10.1017/S0305004100060114zbMath0509.20015OpenAlexW2106627953MaRDI QIDQ4748343

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Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100060114

zbMATH Keywords

embeddingsubnormal subgroupsPrüfer rankjoin of subnormal subgroupsf.r.d. group

Mathematics Subject Classification ID

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 (5)

On subnormal series with factors of finite rank: The join problem ⋮ Joins of almost subnormal subgroups ⋮ Unnamed Item ⋮ Elliptically embedded subgroups and nilpotent products ⋮ The Lower Central Series in Some Groups with the Subnormal Join Property

Cites Work

• Unnamed Item
• Nilpotent residuals of subnormal subgroups
• The lower central series of a join of subnormal subgroups
• The permutability of orthogonal subnormal subgroups
• A property of the lower central series of a group
• Subjunctive and locally coalescent classes of groups
• Cohomological topics in group theory.
• Sur les commutateurs
• The Join of Two Subnormal Subgroups
• A Contribution to the Theory of Groups of Prime-Power Order

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