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Some finitely presented nilpotent-by-abelian groups

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Publication:1178884
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DOI10.1016/0021-8693(91)90133-SzbMath0806.20023MaRDI QIDQ1178884

J. R. J. Groves

Publication date: 26 June 1992

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


zbMATH Keywords

split extensionsfinite presentabilitynilpotent-by-abelian groups


Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10)


Related Items (4)

Some finitely presented nilpotent-by-abelian groups ⋮ The \(\Sigma^2\)-conjecture for metabelian groups: the general case. ⋮ The \(\Sigma^2\)-conjecture for metabelian groups and some new conjectures: the split extension case ⋮ Centralisers of finite subgroups in soluble groups of type FP n



Cites Work

  • Finite presentability of S-arithmetic groups. Compact presentability of solvable groups
  • Nilpotent groups
  • Some conditions for finite presentation of nilpotent-by-abelian groups
  • Valuations and Finitely Presented Metabelian Groups
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