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Bound on the diameter of split metacyclic groups
Let be the split metacyclic
group, where is a unit modulo . We derive an upper bound for the
diameter of using an arithmetic parameter called the
\textit{weight}, which depends on , , and the order of . As an
application, we show how this would determine a bound on the diameter of an
arbitrary metacyclic group.Comment: 13 pages, 3 table