2025-09-032025-09-032025-05-20O'Brien, C. and Quinlan, R. (2025) 'Groups of singular alternating sign matrices', Electronic Journal of Linear Algebra, 41, 288-303, available: https://doi.org/10.13001/ela.2025.8715.1081-3810https://dspace.mic.ul.ie/handle/10395/3471We investigate multiplicative groups consisting entirely of singular alternating sign matrices (ASMs) and present several constructions of such groups. It is shown that every finite group is isomorphic to a group of singular ASMs, with a singular idempotent ASM as its identity element. The relationship between the size, the rank, and the possible multiplicative orders of singular ASMs is explored.engOpen Access CC BY-NC-SA 4.0https://journals.uwyo.edu/index.php/ela/article/view/8715Alternating sign matrixASMMatrix groupArticle10.13001/ela.2025.8715