2 papers
math.NT2025
On non-commutative Iwasawa theory and derivatives of Euler systems
David Burns, Takamichi Sano
We use the theory of reduced determinant functors from [24] to give a new, computationally useful, description of the relative -groups of orders in finite dimensional separabl…
math.NT2025
On non-commutative Euler systems, I: preliminaries on `det' and `Fit'
David Burns, Takamichi Sano
We extend some classical constructions in commutative algebra to the setting of modules over orders in (non-commutative) semisimple algebras. Our theory incorporates, inter alia, `…