N. Ahmadkhah

collaborators

3 papers

math.GR2024

On the conjecture of groups with the same number of centralizer

N. Ahmadkhah, M. Zarrin

For any group G, let $ce n t (G)$ denote the set of all centralizers of $G$ . The authors in \cite{KZ}, Groups with the same number of centralizers, J. Algebra Appl. (2021) 2150012 (6…

math.GR2024

The influence of the nilpotentlizers on group structur

N. Ahmadkhah, M. Zarrin

For a finite group $G$ and an element $x \in G$ , the subset $ni l_{G} (x) = {y \in G ∣< x, y > i s ni l p o t e n t}$ is called nilpotentizer of $x$ in $G$ . In this paper, we give two s…

math.GR2017

A generalization of Neumann's Question

A. Ahmadkhah, S. Marzang, M. Zarrin

Let $G$ be a group, $m \geq 2$ and $n \geq 1$ . We say that $G$ is an $T (m, n)$ -group if for every $m$ subsets $X_{1}, X_{2}, \dots, X_{m}$ of $G$ of cardinality $n$ , there exists $i…