Automorphisms of finite fields
نویسندگان
چکیده
منابع مشابه
Automorphisms of Finite Fields
Let F be a finite field, and 4: F* + E a surjective group homomorphism from the multiplicative group F* of F to a non-trivial abelian group E. A theorem of McConnel (Acta Arith. 8 (1963) 127-151) describes the permutations e of F with the property that d(ux uy) = d(x y) for all X, j’ E F, .Y #J. We give a short proof of this theorem, based on an argument of Bruen and Levinger (Canad. J. Math. 2...
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Let G = Fqo 〈β〉 be the semidirect product of the additive group of the field of q = p elements and the cyclic group of order d generated by the invertible linear transformation β defined by multiplication by a power of a primitive root of Fq. We study endomorphisms of G. We find an arithmetic condition on d so that every endomorphism is determined by its values on (1, 1) and (0, β). When that i...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1990
ISSN: 0022-314X
DOI: 10.1016/0022-314x(90)90050-2