On the distribution of points in orbits of PGL(2,q) acting on GF(q) |
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| Authors: | Harald Niederreiter Arne Winterhof |
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| Institution: | a Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Republic of, Singapore;b Temasek Laboratories, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of, Singapore |
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| Abstract: | We prove results on the distribution of points in an orbit of PGL(2,q) acting on an element of GF(qn). These results support a conjecture of Klapper. More precisely, we show that the points in an orbit are uniformly distributed if n is small with respect to q. |
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| Keywords: | Orbits Projective general linear group Finite fields Character sums |
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