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On the Number of Representations of Matroids Over FiniteFields

✍ Scribed by A. N. Skorobogatov


Book ID
119651357
Publisher
Springer
Year
1996
Tongue
English
Weight
125 KB
Volume
9
Category
Article
ISSN
0925-1022

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On Inequivalent Representations of Matro
✍ James Oxley; Dirk Vertigan; Geoff Whittle πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 586 KB

Kahn conjectured in 1988 that, for each prime power q, there is an integer n(q) such that no 3-connected GF(q)-representable matroid has more than n(q) inequivalent GF(q)-representations. At the time, this conjecture was known to be true for q=2 and q=3, and Kahn had just proved it for q=4. In this