Article contents
Division algebras and maximal orders for given invariants
Published online by Cambridge University Press: 26 August 2016
Abstract
Brauer classes of a global field can be represented by cyclic algebras. Effective constructions of such algebras and a maximal order therein are given for $\mathbb{F}_{q}(t)$, excluding cases of wild ramification. As part of the construction, we also obtain a new description of subfields of cyclotomic function fields.
- Type
- Research Article
- Information
- LMS Journal of Computation and Mathematics , Volume 19 , Special Issue A: Algorithmic Number Theory Symposium XII , 2016 , pp. 178 - 195
- Copyright
- © The Author(s) 2016
References
- 3
- Cited by