NDLI: Constructing Prime-Field Planar Configurations

Content Provider	Scilit
Author	Gordon, Gary
Copyright Year	1984
Description	An infinite class of planar configurations is constructed with distinct prime-field characteristic sets (i.e., configurations represented over a finite set of prime fields but over fields of no other characteristic). It is shown that if is sufficiently large, then every subset of primes between and forms such a set (where for constants and ). In particular, for every positive integer , there exist infinitely many planar matroid configurations with (where denotes the prime-field characteristic set of ). We also give a result concerning cofinite prime-field characteristic sets.
Related Links	http://www.ams.org/proc/1984-91-03/S0002-9939-1984-0744655-1/S0002-9939-1984-0744655-1.pdf
Ending Page	502
Page Count	11
Starting Page	492
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2045328
Journal	Proceedings of the American Mathematical Society
Issue Number	3
Volume Number	91
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Field Planar Planar Configurations Constructing Prime Field
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Constructing Prime-Field Planar Configurations