Exceptional scatteredness in prime degree

نویسندگان

چکیده

Let q be an odd prime power and n integer. ??Fqn[x] a q-linearized t-scattered polynomial of linearized degree r. d=max?{t,r} number. In this paper we show that under these assumptions it follows ?=x. Our technique involves Galois theoretical characterization polynomials combined with the classification transitive subgroups general linear group over finite field Fq.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2021

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2020.09.034