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Perpendicularity in an Abelian Group

Author

Listed:
  • Pentti Haukkanen
  • Mika Mattila
  • Jorma K. Merikoski
  • Timo Tossavainen

Abstract

We give a set of axioms to establish a perpendicularity relation in an Abelian group and then study the existence of perpendicularities in and and in certain other groups. Our approach provides a justification for the use of the symbol denoting relative primeness in number theory and extends the domain of this convention to some degree. Related to that, we also consider parallelism from an axiomatic perspective.

Suggested Citation

  • Pentti Haukkanen & Mika Mattila & Jorma K. Merikoski & Timo Tossavainen, 2013. "Perpendicularity in an Abelian Group," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-8, April.
    • Handle: RePEc:hin:jijmms:983607
    DOI: 10.1155/2013/983607
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