Abstract
We observe some non-cancellation phenomena arising from recent studies of the non-cancellation set χ (G) of a certain group G. Here χ (G) denotes the set of all isomorphism classes of groups H such that H × Z G × Z. In particular, there is a group structure on the set χ (G), and we compare this group operation with direct product formation. We also study a particular class of groups for which the non-cancellation set is trivial.
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