𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monochromatic Translates of Configurations in the Plane

✍ Scribed by Arthur D. Szlam

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
100 KB
Volume
93
Category
Article
ISSN
0097-3165

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✦ Synopsis

It is shown that every red blue coloring of the plane, without two blue points distance 1 apart, must have a red translate of every three-point configuration. A seven-point configuration S and a red blue coloring are exhibited, which avoids both distance one in blue and translates of S in red.

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Large quartic groups on translation plan
Large quartic groups on translation planes, IIβ€”Even order: Characterization of the Ott-Schaeffer planes
✍ Mauro Biliotti; Vikram Jha; Norman L. Johnson πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 158 KB

## Abstract A general theory of collineation groups generated by quartic groups of even order is considered. Applications are given to collineation groups generated by β€˜large’ quartic groups. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 13: 195–210, 2005.