1 citations · 1 across the 3 of their papers we have counts for
5 papers
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…
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_…
Alternating Signed Bipartite Graphs and Difference-1 Colourings
Cian O'Brien, Kevin Jennings, Rachel Quinlan
We investigate a class of 2-edge coloured bipartite graphs known as alternating signed bipartite graphs (ASBGs) that encode the information in alternating sign matrices. The centra…
Hermitian and skew hermitian forms over local rings
James Cruickshank, Rachel Quinlan, Fernando Szechtman
We study the classification problem of possibly degenerate hermitian and skew hermitian bilinear forms over local rings where 2 is a unit.
Galois extensions and subspaces of bilinear forms with special rank properties
Rod Gow, Rachel Quinlan
Let K be a field admitting a cyclic Galois extension of degree n. The main result of this paper is a decomposition theorem for the space of alternating bilinear forms defined on a…