A generalization of separable groups

Eugene Frank Cornelius, Jr.

Vol. 39 (1971), No. 3, 603–613

DOI: 10.2140/pjm.1971.39.603

Abstract

This paper introduces a new class of torsion free abelian groups, the class of quasi-separable groups, which is the quasi-isomorphism analog of the class of separable groups and which properly contains the latter. Our purpose is two-fold: first, to further explore the phenomena of quasi-isomorphism, which has proved fruitful in the study of torsion free groups, and second, to shed further light on separable groups.

Mathematical Subject Classification 2000

Primary: 20K25

Milestones

Received: 17 February 1970

Published: 1 December 1971