On the NSE characterization of certain finite simple groups

S Rahbariyan, A Azad - Algebraic Structures and Their Applications, 2021 - as.yazd.ac.ir
For a group $ G $, $\pi_e (G) $ and $ s_m (G) $ are denoted the set of orders of elements
and the number of elements of order $ m $ in $ G $, respectively. Let ${\rm nse}(G)=\{s_m …

OD-Characterization of Some Simple Unitary Groups

M Akbari, X Chen, A Moghaddamfar - Bulletin of the Iranian Mathematical …, 2021 - Springer
OD-Characterization of Some Simple Unitary Groups | Bulletin of the Iranian Mathematical Society
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Several quantitative characterizations of some specific groups

A Mohammadzadeh, AR Moghaddamfar - arXiv preprint arXiv:1511.08558, 2015 - arxiv.org
Let $ G $ be a finite group and let $\pi (G)=\{p_1, p_2,\ldots, p_k\} $ be the set of prime
divisors of $| G| $ for which $ p_1< p_2<\cdots< p_k $. The Gruenberg-Kegel graph of $ G …