Tag: Priority Page 2 of 3

For Emil Artin

(On His Dies Natalis )… An Exceptional Isomorphism Between Geometric and Combinatorial Steiner Triple Systems Underlies  the Octads of the M24 Steiner System S(5, 8, 24). This is asserted in an excerpt from…  "The…

Geometric Incarnation

The  Kummer 166  configuration  is the configuration of sixteen 6-sets within a 4×4 square array of points in which each 6-set is determined by one of the 16 points of the array…

Moonshine II

(Continued from yesterday) The foreword by Wolf Barth in the 1990 Cambridge U. Press reissue of Hudson's 1905 classic Kummer's Quartic Surface covers some of the material in yesterday's post Moonshine. The…

Mathematics and Narrative (continued)

Short Story — (Click image for some details.) Parts of a longer story — The Galois Tesseract and Priority.

Galois Coordinates

Today's previous post on coordinate systems suggests a look at the phrase "Galois coordinates." A search shows that the phrase, though natural, has apparently not been used before…

Permanence

"What we do may be small, but it has   a certain character of permanence." — G. H. Hardy, A Mathematician's Apology The diamond theorem  group, published without…

Codes

The hypercube  model of the 4-space over the 2-element Galois field GF(2): The phrase Galois tesseract  may be used to denote a different model of the above 4-space: the 4×4 square….

Priority Claim

From an arXiv preprint submitted July 18, 2011, and last revised on March 11, 2013 (version 4): "By our construction, this vector space is the dual of our hypercube…

Symmetry

Anne Taormina on Mathieu Moonshine — This is, of course, the same group (of order 322,560) underlying the Diamond 16 Puzzle.

Vector Addition in a Finite Field

The finite (i.e., Galois) field GF(16), according to J. J. Seidel in 1974— The same field according to Steven H. Cullinane in 1986, in its guise as the…