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 an Fq-linear transformation f of Fq^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.
Scalar q-subresultants and Dickson matrices / Csajbok, Bence. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 547:(2020), pp. 116-128. [10.1016/j.jalgebra.2019.10.056]
Scalar q-subresultants and Dickson matrices
Bence Csajbok
2020-01-01
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 an Fq-linear transformation f of Fq^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.File in questo prodotto:
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