# A new characterization of Suzuki groups

Behnam Ebrahimzadeh; Reza Mohammadyari

Archivum Mathematicum (2019)

- Volume: 055, Issue: 1, page 17-21
- ISSN: 0044-8753

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topEbrahimzadeh, Behnam, and Mohammadyari, Reza. "A new characterization of Suzuki groups." Archivum Mathematicum 055.1 (2019): 17-21. <http://eudml.org/doc/294174>.

@article{Ebrahimzadeh2019,

abstract = {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.},

author = {Ebrahimzadeh, Behnam, Mohammadyari, Reza},

journal = {Archivum Mathematicum},

keywords = {element order; prime graph; Suzuki group},

language = {eng},

number = {1},

pages = {17-21},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {A new characterization of Suzuki groups},

url = {http://eudml.org/doc/294174},

volume = {055},

year = {2019},

}

TY - JOUR

AU - Ebrahimzadeh, Behnam

AU - Mohammadyari, Reza

TI - A new characterization of Suzuki groups

JO - Archivum Mathematicum

PY - 2019

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 055

IS - 1

SP - 17

EP - 21

AB - 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.

LA - eng

KW - element order; prime graph; Suzuki group

UR - http://eudml.org/doc/294174

ER -

## References

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