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Integer matrices and Abelian groups

  • George Havas
  • Leon S. Sterling
11. Applied Algebra
First Online:
Part of the Lecture Notes in Computer Science book series (LNCS, volume 72)

Abstract

Practical methods for computing equivalent forms of integer matrices are presented. Both heuristic and modular techniques are used to overcome integer overflow problems, and have successfully handled matrices with hundreds of rows and columns. Applications to finding the structure of finitely presented abelian groups are described.

Keywords

Great Common Divisor Relation Matrix Integer Matrix Torsion Subgroup Large Entry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • George Havas
    • 1
  • Leon S. Sterling
    • 1
  1. 1.Department of Mathematics, Institute of Advanced StudiesAustralian National UniversityCanberraAustralia

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