On a theorem of Rhemtulla on polycyclic groups.

DOI10.1016/J.JPAA.2010.02.004zbMath1211.20029OpenAlexW2021517651MaRDI QIDQ964549

Bertram Arthur Frederick Wehrfritz

Publication date: 22 April 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.02.004

zbMATH Keywords

polycyclic-by-finite groupschains of subgroupsminimal conditionintersections of conjugates of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphism groups of groups (20F28)

Related Items (1)

Variations on the theme of FC-groups.

Cites Work

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• The divisible radical of a group.
• On the holomorphs of soluble groups of finite rank
• Integral representation of holomorphs of polycyclic groups
• Two Examples of Soluble Groups that are not Conjugacy Separable
• FINITELY GENERATED MODULES OVER POLYCYCLIC GROUPS
• A Minimality Property of Polycyclic Groups

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