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Standard Galois problem

Source: SNSB Admission 2003

October 8, 2019
algebrapolynomialabstract algebraGalois Theory

Problem Statement

Let be the polynomial f=X4+X2∈Z2[X] f=X^4+X^2\in\mathbb{Z}_2[X] Find: a) its degree.. b) the splitting field of f f c) the Galois group of f f (Galois group of its splitting field)
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