Integral and homothetic indecomposability with applications to irreducibility of polynomials

Authors: FATİH KOYUNCU, FERRUH ÖZBUDAK

Abstract: Being motivated by some methods for construction of homothetically indecomposable polytopes, we obtain new methods for construction of families of integrally indecomposable polytopes. As a result, we find new infinite families of absolutely irreducible multivariate polynomials over any field F. Moreover, we provide different proofs of some of the main results of Gao [2].

Keywords: Absolute irreducibility, polytopes, integral indecomposability.

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