A note on the characterization of cm-ftelds

P. E. Blanksby; J. H. Loxton

doi:10.1017/S1446788700011460

A note on the characterization of cm-ftelds

P. E. Blanksby, J. H. Loxton

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	26-30
Number of pages	5
Journal	Journal of the Australian Mathematical Society
Volume	26
Issue number	1
DOIs	https://doi.org/10.1017/S1446788700011460
Publication status	Published - 1978
Externally published	Yes

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A note on the characterization of cm-ftelds

Abstract

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