Number field Monogenic field A monogenic field is a number field possessing an Integral power basis, 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 proof Examples Quadratic field, see Quadratic integers. Cyclotomic field, see Cyclotomic integers. tidy | en | sembr Footnotes 2022. Algebraic number theory course notes, §2.3.2, p. 45 ↩