Number field

Monogenic field

A monogenic field is a number field possessing an Integral power basis, #m/def/num/alg i.e. the annoying index is unity.

Pure number field

Let be a prime and be a squarefree integer not divisible by , and . Then is monogenic iff .1

Proof

#missing/proof

Examples


#state/tidy | #lang/en | #SemBr

Footnotes

  1. 2022. Algebraic number theory course notes, §2.3.2, p. 45