M. Tărnăuceanu

activity

20112026

most citedA generalization of Menon's identity

15 citations · 53 across the 33 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.GR2020

Groups whose same-order types are arithmetic progressions

Mihai-Silviu Lazorec, Marius Tarnauceanu

The same-order type $τ_{e} (G)$ of a finite group $G$ is a set formed of the sizes of the equivalence classes containing the same order elements of $G$ . In this paper, we study an ari…

math.GR2020

The second minimum/maximum value of the number of cyclic subgroups of finite $p$ -groups

Mihai-Silviu Lazorec, Rulin Shen, Marius Tărnăuceanu

Let $C (G)$ be the poset of cyclic subgroups of a finite group $G$ and let $P$ be the class of $p$ -groups of order $p^{n}$ ( $n \geq 3$ ). Consider the function $α:\mathcal{P}\…

Groups whose same-order types are arithmetic progressions

The second minimum/maximum value of the number of cyclic subgroups of finite p-groups

The second minimum/maximum value of the number of cyclic subgroups of finite $p$ -groups