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math.CO2021
Alternating sign matrices of finite multiplicative order
Cian O'Brien, Rachel Quinlan
We investigate alternating sign matrices that are not permutation matrices, but have finite order in a general linear group. We classify all such examples of the form , where…
math.RA2021
Linear diophantine equations in several variables
Rachel Quinlan, Moumita Shau, Fernando Szechtman
Let be a ring and let be a unimodular vector, where and each is in the center of . Consider the linear equation $a_1X_1+\cdots+a_nX_…