Generalizing a Rank Analogue of Hall's Theorem

DOI10.1080/00927872.2011.569905zbMath1252.20015OpenAlexW2112112145MaRDI QIDQ2903361

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Publication date: 8 August 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.569905

zbMATH Keywords

finite nilpotent groupslower central seriesupper central seriesranks of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• Generalizing a theorem of P. Hall on finite-by-nilpotent groups
• A finiteness condidtion on nurmal subgroups of nilpotent groups
• Bounds for the index of the centre in capable groups

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