We consider sufficient conditions for metacyclic groups to split. Specifically, we show that a finite metacyclic group G of odd order is split on its cyclic normal subgroup K if K is such that G/K is cyclic and |K| = exp G.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 10, pp. 1432–1437, October, 2012.
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Yang, Y., Liu, Hg. On split metacyclic groups. Ukr Math J 64, 1627–1633 (2013). https://doi.org/10.1007/s11253-013-0740-7
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DOI: https://doi.org/10.1007/s11253-013-0740-7