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IMCS/Publications/QRS/Issues/QRS v.14, n.1 (15), 2006/

Ranks of nets

Authors: G. E. Moorhouse

Abstract

Let N be a k-net of prime order p. We find bounds on the p-rank of (the point-line incidence matrix of) N for k 2 {3, 4}, and observe connections between the p-rank and certain structural properties of N. Implications for the study of finite projective planes are described.

G. E. Moorhouse
Department of Mathematics
University of Wyoming
1000 E. University Ave.
Laramie, WY 82071
U.S.A.
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