On subnormal series with factors of finite rank: The join problem

zbMath0785.20019MaRDI QIDQ2366582

Yanyan Li

Publication date: 30 August 1993

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_1992__88__25_0

zbMATH Keywords

joinsubnormal subgroupstensor productfiniteness conditionslower central seriessolubilitysubnormal seriesfinite rankperiodic divisible grouppermutizer

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• Some sufficient conditions for a group to be nilpotent
• Subnormal joins and subgroups of finite index
• Commutator subgroups of a join of subnormal subgroups
• Joins of almost subnormal subgroups
• The lower central series of a join of subnormal subgroups
• Joins of subnormal subgroups
• The derived series of a join of subnormal subgroups
• Groups with the Subnormal Join Property
• Elliptically embedded subgroups and nilpotent products
• Conditions for subnormality of a join of subnormal subgroups
• The join of several subnormal subgroups
• On certain subgroups of a join of subnormal subgroups

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