Abstract
Let q be a power of an odd prime number p and K : = F q ( T ) be the rational function field with a fixed indeterminate T. For P a prime of K, let K P + be the maximal real subfield of the Pth-cyclotomic function field and O K P + its ring of integers. We prove that there exists infinitely many primes P of even degree such that the cardinal of the ideal class group Cl ( O K P + ) is divisible by q. We prove also an analogous result for imaginary extensions.
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.
