Abstract
Let K be a k-arc in PG(2, q), q = p l , p prime, consisting of the points of a point orbit under a cyclic collineation group G. We show that if G is a subgroup of a Singer group of PG(2, q), if p is greater than 5, and if 2 k is different from −2,1,2,4 ( mod p) , then k⩽(44/45)q+ 8 9 .
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