Duality and invariants for Butler groups

David Marion Arnold and Charles Irvin Vinsonhaler

Vol. 148 (1991), No. 1, 1–10

DOI: 10.2140/pjm.1991.148.1

Abstract

A duality is used to develop a complete set of numerical quasi-isomorphism invariants for the class of torsion-free abelian groups consisting of strongly indecomposable cokernels of diagonal embeddings A₁ ∩⋯∩A_n → A₁ ⊕⋯⊕A_n for n-tuples (A₁,…,A_n) of subgroups of the additive group of rational numbers.

Mathematical Subject Classification 2000

Primary: 20K15

Milestones

Received: 13 September 1988

Published: 1 March 1991