On the existence of finitely generated normal subgroups with infinite cyclic quotients

DOI10.1007/BF01223717zbMath0465.20026MaRDI QIDQ1154547

Robert Bieri, Ralph Strebel

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

finitely generated groupsmetabelian groupsfinitely generated normal subgroup with infinite cyclic quotientfinitely presented nilpotent-by-abelian groupssoluble variety

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15) Quasivarieties and varieties of groups (20E10)

Related Items

A geometric invariant of discrete groups, Subdirect products of finitely presented metabelian groups.

Cites Work

• Unnamed Item
• Unnamed Item
• Almost finitely presented soluble groups
• Valuations and Finitely Presented Metabelian Groups
• Varieties of soluble groups and a dichotomy of P. Hall