We use the algorithmic computation of exact sequences of Abelian groups to compute the complete structure of (ZK /m)∗ for an ideal m of a number field K, as well as ray class gr...
Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
This paper analyzes the complexity of problems from class field theory. Class field theory can be used to show the existence of infinite families of number fields with constant ro...
We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to prese...
We introduce a new cryptosystem with trapdoor decryption based on the di culty of computing discrete logarithms in the class group of the non-maximal imaginary quadratic order O q ...
Designing interactive conducting exhibits for public spaces poses unique challenges, primarily because the conceptual model of conducting music varies amongst users. In a user stu...