Malcolm Hoong Wai Chen

activity

20222026

most citedGalois groups of certain even octic polynomials

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

collaborators

6 papers

math.GR2026

Abstract regular polytopes of $G_{2} (q)$ in even characteristic

Malcolm Hoong Wai Chen

For every even prime power $q > 2$ , we explicitly construct a rank five string C-group representation of the Chevalley simple group $G_{2} (q)$ using its natural seven-dimensional matri…

math.RA2025

Covering rings by proper ideals

Malcolm Hoong Wai Chen, Eric Swartz, Nicholas J. Werner

A cover by left ideals of an associative (not necessarily commutative or unital) ring $R$ is a collection of proper left ideals whose set-theoretic union equals $R$ . If such a cove…

math.RA2025

Rings as unions of proper ideals

Malcolm Hoong Wai Chen

In this note, we define and investigate ideal covering numbers of associative rings (not assumed to be commutative or unital): three invariants defined as the minimal number of pro…

math.GR2025

Abstract Regular Polytopes of Finite Irreducible Coxeter Groups

Malcolm Hoong Wai Chen, Peter Rowley

Here, for $W$ the Coxeter group $D_{n}$ where $n > 4$ , it is proved that the maximal rank of an abstract regular polytope for $W$ is $n - 1$ if $n$ is even and $n$ if $n$ is…

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…

Abstract regular polytopes of G2​(q) in even characteristic

Covering rings by proper ideals

Rings as unions of proper ideals

Abstract Regular Polytopes of Finite Irreducible Coxeter Groups

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

Galois groups of certain even octic polynomials

Abstract regular polytopes of $G_{2} (q)$ in even characteristic

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