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Resolvents Of Certain Linear Groups In a Finite Field
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1956
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