Torsion in Groups of Integral Triangles ()

Will Murray

Department of Mathematics and Statistics, California State University, Long Beach, USA.

**DOI: **10.4236/apm.2013.31015
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Department of Mathematics and Statistics, California State University, Long Beach, USA.

Let 0＜*γ*＜π be a fixed pythagorean angle. We study the abelian group *H _{r}* of primitive integral triangles (

Keywords

Abelian Groups; Cubic Equations; Examples; Free Abelian; Geometric Constructions; Group Theory; Integral Triangles; Law of Cosines; Primitive; Pythagorean Angles; Pythagorean Triangles; Pythagorean Triples; Rational Squares, Three-Torsion; Torsion; Torsion-Free; Two-Torsion; Triangle Geometry

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W. Murray, "Torsion in Groups of Integral Triangles," *Advances in Pure Mathematics*, Vol. 3 No. 1, 2013, pp. 116-120. doi: 10.4236/apm.2013.31015.

Conflicts of Interest

The authors declare no conflicts of interest.

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[3] | J. Mariani, “The Group of the Pythagorean Numbers”, American Mathematical Monthly, Vol. 69, 1962, pp. 125-128. doi:10.2307/2312540 |

[4] | B. H. Margolius, “Plouffe’s Constant is Transcendental,” http://www.plouffe.fr/simon/articles/plouffe.pdf. |

[5] | E. J. Eckert and P. D. Vestergaard, “Groups of Integral Triangles,” Fibonacci Quarterly, Vol. 27, No. 5, 1989, pp. 458-464. |

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