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The universal torsion-free image of a group

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Publication:1359995
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DOI10.1007/BF02937335zbMath0880.20023MaRDI QIDQ1359995

James Howie, Sergei D. Brodsky

Publication date: 8 February 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

presentationstorsion-free groupscyclically reduced wordslocally indicable groupsequations over groupsrelatorstorsion-free radical


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)


Related Items (1)

Torsion, torsion length and finitely presented groups



Cites Work

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  • Equations over groups, and groups with one defining relation
  • On locally indicable groups
  • Cohomological topics in group theory.
  • Solutions of equations over groups
  • THREE-RELATOR QUOTIENTS OF THE MODULAR GROUP
  • The Quotient of a Free Product of Groups by a Single High-Powered Relator. I. Pictures. Fifth and Higher Powers


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