Division algebras and maximal orders for given invariants

Gebhard Böckle, Damián Gvirtz
2016 LMS Journal of Computation and Mathematics  
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.
doi:10.1112/s1461157016000310 fatcat:owenlnhqdnhz7cpct7c6xp2ceu