On some polycyclic groups with small Hirsch length

DOI10.1142/S0219498817502371zbMath1375.20041OpenAlexW2569739119MaRDI QIDQ4594967

Tao Xu, Fang Zhou, He Guo Liu

Publication date: 27 November 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817502371

zbMATH Keywords

generatorpolycyclic groupderived lengthfinite quotient

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14)

Related Items (1)

On some polycyclic groups with small Hirsch length II

Cites Work

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• Bounding the number of generators of a polycyclic group
• On finite soluble groups
• Nilpotent Groups in Which the Derived Group Has Two Generators
• Two-Generator Conditions for Polycyclic Groups
• Some Groups of Derived Length Six

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