Determination of the stably free cancellation property for orders
Abstract
Let K K be a number field, let A A be a finite-dimensional semisimple K K -algebra, and let Λ \Lambda be an O K \mathcal {O}_{K} -order in A A . We give practical algorithms that determine whether Λ \Lambda has stably free cancellation (SFC). As an application, we determine all finite groups G G of order at most 383 383 such that the integral group ring Z [ G ] \mathbb {Z}[G] has SFC.
Fields of Study & Subjects
Power Line Communications and Noise
Reliability and Maintenance Optimization
Cryptography and Data Security
Publication details
- Journal / source
- Transactions of the American Mathematical Society
- Publication date
- 28 January 2026
- Language
- EN