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
top- Chen, G.Y., About Frobenius groups and -Frobenius groups, J. Southwest China Normal Univ. 20 (5) (1995), 485–487. (1995)
- Ebrahimzadeh, B., Iranmanesh, A., Parvizi Mosaed, H., A new characterization of Ree group by the order of group and number of elements with same order, Int. J. Group Theory 6 (4) (2017), 1–6. (2017) MR3695074
- Frobenius, G., Verallgemeinerung des Sylowschen Satze, Berliner Sitz (1895), 981–983. (1895)
- Gorenstein, D., Finite Groups, Harper and Row, New York, 1980. (1980) Zbl0463.20012MR0569209
- Khalili Asboei, A., Amiri, S.S., Iranmanesh, A., Tehranian, A., 10.1142/S0219498812501587, J. Algebra Appl. 12 (2) (2013), 1250158. (2013) MR3005607DOI10.1142/S0219498812501587
- Khalili Asboei, A., Iranmanesh, A., Characterization of the linear groups , Czechoslovak Math. J. 64 (139) (2014), no. 459–464. (2014) MR3277747
- Parvizi Mosaed, H., Iranmanesh, A., Tehranian, A., 10.4134/BKMS.b140564, Bull. Korean Math. Soc. 53 (3) (2016), 651–656. (2016) MR3508660DOI10.4134/BKMS.b140564
- Shao, C.G., Shi, W., Jiang, Q.H., 10.1007/s11464-008-0025-x, Front Math. China 3 (3) (2008), 355–370. (2008) Zbl1165.20020MR2425160DOI10.1007/s11464-008-0025-x
- Suzuki, M., 10.2307/1970423, Ann. of Math. 2 (75) (1962), 105–145. (1962) MR0136646DOI10.2307/1970423
- Wiliams, J.S., 10.1016/0021-8693(81)90218-0, J. Algebra 69 (2) (1981), 487–512. (1981) MR0617092DOI10.1016/0021-8693(81)90218-0
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