Coarse cohomology types of pure meta cyclic fields
Number Theory
2018-12-27 v1
Abstract
An unexpected behavior of pure septic fields L = Q(D^1/7) with certain prime radicands D congruent to 2 or 4 modulo 7, which split in the cyclotomic field of seventh roots of unity, is proved by direct computation. Whereas the Galois closures N = Q(zeta_7, D^1/7) of these fields contain relative differential principal factorizations in the kernel of the norm of N/L, the class numbers of L and N are not divisible by 7.
Keywords
Cite
@article{arxiv.1812.09854,
title = {Coarse cohomology types of pure meta cyclic fields},
author = {Daniel C. Mayer},
journal= {arXiv preprint arXiv:1812.09854},
year = {2018}
}
Comments
3 pages, 3 figures