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http://dx.doi.org/10.5831/HMJ.2011.33.3.381

REPRESENTATIONS OF U3,6 AND AG(2, 3)  

Ahn, Seung-Ho (Department of Mathematics, Chonnam National University)
Han, Boong-Bi (Department of Mathematics, Chonnam National University)
Publication Information
Honam Mathematical Journal / v.33, no.3, 2011 , pp. 381-391 More about this Journal
Abstract
One of the main interesting things of a matroid theory is the representability by a matroid from a matrix over some field F. The representability of uniform matroid $U_{m,n}$ over some field are studied by many authors. In this paper we construct a matrix representing $U_{3,6}$ over the field GF(4). Also we find out matrix of the affine matroid AG(2, 3) over the field GF(4).
Keywords
Graphic matroid; Uniform matroid; Affine space; Representation of F;
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