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Scalar q-subresultants and Dickson matrices

Csajbók, Bence (2019) Scalar q-subresultants and Dickson matrices. JOURNAL OF ALGEBRA. ISSN 0021-8693

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Abstract

Following the ideas of Ore and Li we study q-analogues of scalar subresultants and show how these results can be applied to determine the rank of a GF(q)-linear transformation f of GF(q^n). As an application we show how certain minors of the Dickson matrix D(f), associated with f, determine the rank of D(f) and hence the rank of f.

Item Type: Article
Uncontrolled Keywords: Dickson matrix, subresultant, linearized polynomial
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Bence Csajbók
Date Deposited: 27 Sep 2020 09:10
Last Modified: 27 Sep 2020 09:10
URI: http://real.mtak.hu/id/eprint/114841

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