On the Wielandt subgroup of infinite soluble groups

DOI10.1017/S0017089500009149zbMath0726.20023MaRDI QIDQ3348195

Silvana Franciosi, Rolf Brandl, Francesco de Giovanni

Publication date: 1990

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

zbMATH Keywords

normalizerssubnormal subgroupspolycyclic groupabelian-by-finiteWielandt subgroupfinite Prüfer rankFC-centremetanilpotentfinitely generated soluble-by-finite

Mathematics Subject Classification ID

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

Related Items (7)

A note on skew linear groups of finite rank ⋮ The order of the product of two elements in the periodic groups ⋮ On the nilpotent residual norm of a group and the structure of \(S\)-groups ⋮ On the Wielandt subgroup of generalized FC-groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Nσ*-norm and Dp*-norm of finite groups

Cites Work

• Über den Normalisator der subnormalen Untergruppen
• On the theory of subnormal subgroups
• Power automorphisms of a group
• On certain subnormal coalition classes
• On the Finiteness of Certain Soluble Groups

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