Sabancı Üniversitesi Cebir Seminerleri
Existence theorems for r-primitive elements in finite fields
Stephen D. Cohen
University of Glasgow, Birleşik Krallık
Let r|q −1. An element of Fq is r-primitive if it has order (q −1)/r. Thus, a primitive element is 1- primitive and an r-primitive element is the rth power of a primitive element of Fq. We describe some existence theorems for general r-primitive elements and, in particular, analogues for 2-primitive elements of the following complete existence theorems for primitive elements.
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