Malcolm Hoong Wai Chen

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20222026

most citedGalois groups of certain even octic polynomials

3 citations · 3 across the 5 of their papers we have counts for

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math.NT2024

Elementary characterization of the Galois groups of $x^{12} + a x^{6} + b$

Malcolm Hoong Wai Chen

Let $f (x) = x^{12} + a x^{6} + b \in Q [x]$ be an irreducible polynomial, $g_{4} (x) = x^{4} + a x^{2} + b$ , $g_{6} (x) = x^{6} + a x^{3} + b$ , and let $G_{4}$ and $G_{6}$ be the Galois groups of $g_{4} (x)$ and $g_6…

math.NT2022★ 3 cited

Galois groups of certain even octic polynomials

Malcolm Hoong Wai Chen, Angelina Yan Mui Chin, Ta Sheng Tan

Let $f (x) = x^{8} + a x^{4} + b \in Q [x]$ be an irreducible polynomial where $b$ is a square. We give a method that completely describes the factorization patterns of a linear resolv…

Elementary characterization of the Galois groups of x12+ax6+b

Galois groups of certain even octic polynomials

Elementary characterization of the Galois groups of $x^{12} + a x^{6} + b$