Alladi Ramakrishnan Hall

On Euclidean ideal classes

J. Sivaraman

IMSc

In 1979, H. Lenstra showed that the ring of integers of a number field with unit rank at least one has a Euclidean ideal class if and only if the class group is cyclic provided the Extended Riemann hypothesis is true. In this talk, we will present unconditional results in this direction for families of number fields. This is a pre-synopsis talk.