Non-cancellation Sets of Direct Powers of certain Metacyclic Groups

Andrew Fransman, Peter J. Witbooi · Kyungpook mathematical journal · 2001

For a group of the form H==1, =>, where(m, u) is a relatively prime pair of natural numbers, we develop methods for computing the set, for k∈. Here is the set of all isomorphism classes of group G with the property that . We exploit the existence of a group structure on similar th the Hilton-Mislin genus group of a finitely generated nilpotent with commutator subroup

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