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Published in 2018 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-017-0216-x
Abstract: In this paper we present an iterative construction of irreducible polynomials over finite fields based on repeated applications of transforms induced by endomorphisms of odd prime degree of ordinary elliptic curves.
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Keywords:
irreducible polynomials;
polynomials finite;
finite fields;
odd prime ... See more keywords
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Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.08.015
Abstract: Abstract A complete procedure is described for constructing the irreducible KG-modules and their Brauer characters, where K is a finite field of characteristic p and G is a finite permutation or matrix group. The central…
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Keywords:
construction irreducible;
modular representations;
finite group;
representations finite ... See more keywords