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Polytopes Over GF(2) and their Relevance for the Cubic Surface Group
Published online by Cambridge University Press: 20 November 2018
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In the preceding paper, Edge represented the celebrated “cubic surface group” of order 72.6! = 51840 as the group of automorphisms of a senary quadratic form over the field of residue-classes mod 2. The object of this sequel is to compare Edge's finite space with a real space, thus identifying his non-ruled quadric in PG(5, 2) with a modular counterpart of the semi-regular polytope 221 which was discovered by Gosset in 1897.
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- Copyright © Canadian Mathematical Society 1959
References
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Coxeter, H. S. M., The polytopes with regular-prismatic vertex figures, Philos. Trans. Roy. Soc. London, Ser. A, 229 (1930), 329–425.Google Scholar
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H. S. M. Coxeter, , The poly tope 22i whose 27 vertices correspond to the lines on the general cubic surface, Amer. J. Math., 62 (1940), 457-86.Google Scholar
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Edge, W. L., Quadrics over GF(2) and their relevance for the cubic surface group, Can. J. Math
11 (1959), 631-51.Google Scholar
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