On the normal cores of certain subgroups of nilpotent groups

DOI10.1017/S0017089500030615zbMath0803.20018OpenAlexW2057363608MaRDI QIDQ4291608

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Publication date: 5 January 1995

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500030615

zbMATH Keywords

finitely generated groupsnilpotent groupscorepolycyclic groupsfinite serieswreath productfinite indexgroups of finite ranksubnormal embedding\(\pi\)-minimax groupscore-free abelian subgroupsubnormal \(\mathfrak P\)-embeddingsubnormal \(\mathfrak X\)-embedding

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• Finiteness Conditions for Soluble Groups

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