Vol. 39, No. 3, 1971

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A generalization of separable groups

Eugene Frank Cornelius, Jr.

Vol. 39 (1971), No. 3, 603–613

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
Received: 17 February 1970
Published: 1 December 1971
Eugene Frank Cornelius, Jr.