Alternating sign matrices of finite multiplicative order

O'Brien, Cian and Quinlan, Rachel 2021. Alternating sign matrices of finite multiplicative order. [Online]. Cornell University. Available at: https://arxiv.org/abs/2110.02024v2

Preview

PDF - Submitted Pre-Print Version Download (500kB) | Preview

Abstract

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 P+T, where P is a permutation matrix and T has four non-zero entries, forming a square with entries 1 and −1 in each row and column. We show that the multiplicative orders of these matrices do not always coincide with those of permutation matrices of the same size. We pose the problem of identifying finite subgroups of general linear groups that are generated by alternating sign matrices.

Item Type:	Website Content
Date Type:	Publication
Status:	Submitted
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Cornell University
Last Modified:	14 Dec 2022 02:22
URI:	https://orca.cardiff.ac.uk/id/eprint/144700

Actions (repository staff only)

Edit Item