Old and New Fields

A number field of degree n is an old field if it is contained in the compositum of fields, each with degree strictly less than n. A field which is not old, is new.

Note that fields of prime degree are always new, so this discussion only applies to the tables displayed here for degrees 4 and 6.

In general, we flag new fields by displaying their Galois groups in boldface. When the number of fields becomes particularly large, we separate old fields from new fields.


John W. Jones
Last modified: Tue Apr 22 11:01:37 MST 1997