Geodesic
A new characterization of Suzuki groups
Archivum mathematicum, Tome 55 (2019) no. 1, pp. 17-21 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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One of the important questions that remains after the classification of the finite simple groups is how to recognize a simple group via specific properties. For example, authors have been able to use graphs associated to element orders and to number of elements with specific orders to determine simple groups up to isomorphism. In this paper, we prove that Suzuki groups $Sz(q)$, where $q\pm \sqrt{2q}+1$ is a prime number can be uniquely determined by the order of group and the number of elements with the same order.
One of the important questions that remains after the classification of the finite simple groups is how to recognize a simple group via specific properties. For example, authors have been able to use graphs associated to element orders and to number of elements with specific orders to determine simple groups up to isomorphism. In this paper, we prove that Suzuki groups $Sz(q)$, where $q\pm \sqrt{2q}+1$ is a prime number can be uniquely determined by the order of group and the number of elements with the same order.
DOI : 10.5817/AM2019-1-17
Classification : 20D06, 20D60
Keywords: element order; prime graph; Suzuki group 
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Ebrahimzadeh, Behnam; Mohammadyari, Reza. A new characterization of Suzuki groups. Archivum mathematicum, Tome 55 (2019) no. 1, pp. 17-21. doi: 10.5817/AM2019-1-17

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