On subnormal series with factors of finite rank: The join problem
zbMath0785.20019MaRDI QIDQ2366582
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
joinsubnormal subgroupstensor productfiniteness conditionslower central seriessolubilitysubnormal seriesfinite rankperiodic divisible grouppermutizer
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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