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math.GR2017
A characterization of ZM-groups
Marius Tărnăuceanu
In this short note we give a characterization of ZM-groups that uses the functions defined and studied in [3,4]. This leads to a proof of Conjecture 6 in [4].
math.GR2017
Cyclic factorization numbers of finite groups
Marius Tărnăuceanu, Mihai-Silviu Lazorec
In this paper we introduce and study the concept of cyclic factorization number of a finite group G. By using the Mobius inversion formula and other methods involving the cyclic s…