Abstract
Let K be a number field with ring of integers OK and let G be a finite group of odd order. Given a G-Galois K-algebra Kh, let Ah denote its square root of the inverse different, which exists by Hilbert's formula. If Kh/K is weakly ramified, then a result of Erez implies that Ah is locally free over OKG and hence defines a class in the locally free class group Cl(OKG) of OKG. In the case that G is abelian, we study the collection of all such classes and show that a subset of them is in fact a subgroup of Cl(OKG).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
