Vol. 92, No. 2, 1981

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The torsion group of a radical extension

David Andrew Gay and William Yslas Vélez

Vol. 92 (1981), No. 2, 317–327
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
Authors
David Andrew Gay
William Yslas Vélez