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The Chords of the Non-Ruled Quadric In PG(3, 3)

Published online by Cambridge University Press:  20 November 2018

H. S. M. Coxeter
H. S. M. Coxeter*
Affiliation:
University of Toronto
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In the preceding paper, Tutte described the forty-five chords of an “ellipsoid” in the finite space PG(3, 3), showing that they may be regarded as the edges of a remarkable graph whose group is the group of automorphisms of the symmetric group . The object of this sequel is to relate Tutte's idea to Sylvester's combinatorial investigation of the fifteen “duads” and fifteen “synthemes” formed by six symbols, and to Richmond's discussion of the figure of six points in a projective 4-space.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 484 - 488
Copyright
Copyright © Canadian Mathematical Society 1958

References

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