Typesets and cotypesets of rank-2 torsion free abelian groups

David Marion Arnold and Charles Irvin Vinsonhaler

Vol. 114 (1984), No. 1, 1–21

DOI: 10.2140/pjm.1984.114.1

Abstract

A sufficient condition is given for a set of types to be the typeset of a rank-2 group, strengthening all previous results on this subject. A correct version of a theorem of Schultz on types and cotypes is provided, along with a variety of other results on typesets and cotypesets of rank-2 groups. Numerous examples are included.

Mathematical Subject Classification 2000

Primary: 20K15

Milestones

Received: 7 December 1982

Published: 1 September 1984