This article is cited in 192 papers

On Galois extensions of a maximal cyclotomic field

G. V. Belyi


Abstract: This paper is devoted to the realization of certain types of Chevalley groups as the Galois group of extensions of certain cyclotomic fields. In addition, a criterion for an algebraic curve to be defined over an algebraic number field is given.
Bibliography: 11 titles.

UDC: 519.4

MSC: Primary 12A55, 14H25, 14H30; Secondary 12A35, 14E20

Received: 02.08.1978

 English version: Mathematics of the USSR-Izvestiya, 1980, 14:2, 247–256

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