A note on the characterization of cm-ftelds

P. E. Blanksby, J. H. Loxton

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


This note deals with some properties of algebraic number fields generated by numbers having all their conjugates on a circle. In particular, it is shown that an algebraic number field is a CM-field if and only if it is generated over the rationals by an element (not equal to ±1) whose conjugates all lie on the unit circle.

Original languageEnglish
Pages (from-to)26-30
Number of pages5
JournalJournal of the Australian Mathematical Society
Issue number1
Publication statusPublished - 1978
Externally publishedYes


Dive into the research topics of 'A note on the characterization of cm-ftelds'. Together they form a unique fingerprint.

Cite this