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Solvable groups with cyclic relation module

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Publication:1313808
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DOI10.1016/0022-4049(93)90129-HzbMath0812.20016MaRDI QIDQ1313808

Jens Harlander

Publication date: 9 May 1995

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


zbMATH Keywords

presentationactionminimal number of generatorsnormal closurerelation modulegroup of operators\(m\)-relator presentationfinitely generated soluble almost one-relator groupsoluble one-relator groups


Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05)


Related Items (1)

Cockcroft presentations



Cites Work

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  • The partial Euler characteristics of the direct powers of a finite group
  • On one-relator soluble groups
  • Amalgamations of pro-p-groups with one defining relator
  • Almost finitely presented soluble groups
  • Homological methods applied to the derived series of groups
  • Finiteness conditions for CW-complexes. I, II.
  • Deficiency zero presentations for certain perfect groups
  • Valuations and Finitely Presented Metabelian Groups




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