| dc.contributor.creator | O'Brien, Cian | |
| dc.contributor.creator | Quinlan, Rachel | |
| dc.date.accessioned | 2025-09-03T14:58:26Z | |
| dc.date.available | 2025-09-03T14:58:26Z | |
| dc.date.issued | 2025-05-20 | |
| dc.identifier.citation | O'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. | en_US |
| dc.identifier.issn | 1081-3810 | |
| dc.identifier.uri | https://dspace.mic.ul.ie/handle/10395/3471 | |
| dc.description.abstract | We 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. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | International Linear Algebra Society | en_US |
| dc.relation.ispartofseries | 41; | |
| dc.rights | Open Access
CC BY-NC-SA 4.0 | en_US |
| dc.rights.uri | https://journals.uwyo.edu/index.php/ela/article/view/8715 | en_US |
| dc.subject | Alternating sign matrix | en_US |
| dc.subject | ASM | en_US |
| dc.subject | Matrix group | en_US |
| dc.title | Groups of singular alternating sign matrices | en_US |
| dc.type | Article | en_US |
| dc.type.supercollection | all_mic_research | en_US |
| dc.type.supercollection | mic_published_reviewed | en_US |
| dc.description.version | Yes | en_US |
| dc.identifier.doi | 10.13001/ela.2025.8715 | |
