Abstract
Let Fq = GF(q) denote the finite field of order
q = pn, where p is a prime. Consider the group Γ of linear transformations(1.1) x' = (ax + b)//(cx + d)with coefficients a, b, c, d ∊ Fq and of determinant 1. The order of Γ is
½q(q2 − 1) or q(q2 − 1) according as q is odd or even, i.e., according as p > 2 or p = 2.
Publisher
Canadian Mathematical Society
Cited by
2 articles.
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1. Another Look at the Dwork Family;Algebra, Arithmetic, and Geometry;2009
2. On xq+1+ax+b;Finite Fields and Their Applications;2004-07