The torsion group of a radical extension

David Andrew Gay and William Yslas Vélez

Vol. 92 (1981), No. 2, 317–327

DOI: 10.2140/pjm.1981.92.317

Abstract

The torsion group of a radical field extension is defined and its structure determined using a theorem of Kneser. In the case of a number field, a representation theorem is proved characterizing all abelian groups that can appear as torsion groups of a radical extension.

Mathematical Subject Classification 2000

Primary: 12F05

Milestones

Received: 26 September 1979

Published: 1 February 1981