Bi-quadratic fields having a non-principal Euclidean ideal class
Date
Thursday, October 31, 2019 10:30 - 11:00
Speaker
Jaitra Chattopadhyay (Harish-Chandra Research Institute)
Location
Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Timothy Browning
Contact
In 1979, H. W. Lenstra defined the notion of an Euclidean ideal class and
proved that if a number field K has a non-principal Euclidean ideal class then the ideal class group ClK of K is cyclic. Except for the imaginary quadratic fields, he was able to prove the converse, under the assumption of GRH. Later, H. Graves constructed an explicit biquadratic field having an Euclidean ideal class and after a few years C.Hsu provided a family of such fields. In this talk, we shall give a new class of biquadratic fields other than the ones given by Graves and Hsu. This is a joint work with Dr. M. Subramani.