M. Tărnăuceanu

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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 2021Show all

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math.GR2021

Addendum to "A generalization of a result on the sum of element orders of a finite group" [arXiv:2001.07275]

Mihai-Silviu Lazorec, Marius Tărnăuceanu

Let $G$ be a group of order $n$ and $H$ be a subgroup of order $m$ of $G$ . Denote by $ψ_{H} (G)$ the sum of element orders relative to $H$ of $G$ . It is known that if $G$ is nilpotent…

math.GR2021

On a group-theoretical generalization of the Euler's totient function

Marius Tărnăuceanu

Let $G$ be a finite group and $φ (G) = ∣ {a \in G ∣ o (a) = exp (G)} ∣$ , where $o (a)$ denotes the order of $a$ in $G$ and $exp (G)$ denotes the exponent of $G$ . Under a natural hypothe…