Abstract
The module cancellation problem asks whether, given modules , and over a ring , the existence of an isomorphism implies that . When is the integral group ring of a metacyclic group , results of Klingler show that the answer to this question is generally negative. By contrast, in this case we show that cancellation holds when and is a generalized Swan module.
Citation
F. E. A. Johnson. "A cancellation theorem for generalized Swan modules." Illinois J. Math. 63 (1) 103 - 125, June 2019. https://doi.org/10.1215/00192082-7600042
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