Re: Cyclotomic fields
- --- In firstname.lastname@example.org, Phil Carmody <thefatphil@...>
> Does anyone know offhand if any cyclotomic fields have non-trivial
> groups, or class numbers greater than 1?For p prime, zeta_p = exp(2*Pi*I/p), the class number of Q(zeta_p) is 1
iff p <= 19.
Ref: L.C. Washington "Introduction to Cyclotomic Fields" (2nd edn.,
Springer, 1997), p. 7.