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Original Articles

Noncancellation and the number of generators

Pages 35-39 | Received 01 Apr 1995, Published online: 27 Jun 2007

References

  • Borevich , Z.I. and Shafarevich , I.R. 1966 . Number Theory , Orlando : Academic Press .
  • Hirshon , R. 1975 . The cancellation of an infinite cyclic group in direct products . Archiv der Math , 26 : 134 – 138 .
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  • Linnell , P.A. and Warhurst , D.S. 1981 . Bounding the number of generators of a polycyclic group . Archiv der Math , 37 : 7 – 17 .
  • Oger , F. 1988 . Elementary equivalence and profinite completions: a chracteriza-tion of finitely generated abelian-by-flnite groups . Proc.Amer.Math.Soc , 103 : 1041 – 1048 .
  • Oger , F. 1990 . Cancellation of abelian groups of finite rank modulo elementary equivalence . Math.Scand , 67 : 5 – 14 .
  • Segal , D. 1983 . Polycyclic Groups , Cambridge : Cambridge University Press .
  • Segal D. personnal communication
  • Warhurst , D.S. 1981 . “ Topics in Group Rings ” . In Thesis , University of Manchester .

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