Previous |  Up |  Next

Article

Title: A characterization of symplectic groups related to Fermat primes (English)
Author: Ebrahimzadeh, Behnam
Author: Asboei, Alireza K.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 62
Issue: 1
Year: 2021
Pages: 33-40
Summary lang: English
.
Category: math
.
Summary: We proved that the symplectic groups $\mathrm{PSp}(4,2^{n})$, where $2^{2n}+1$ is a Fermat prime number is uniquely determined by its order, the first largest element orders and the second largest element orders. (English)
Keyword: element order
Keyword: the largest element order
Keyword: prime graph
Keyword: symplectic group
MSC: 20D06
MSC: 20D60
idZBL: Zbl 07396209
idMR: MR4270465
DOI: 10.14712/1213-7243.2020.033
.
Date available: 2021-07-26T11:09:30Z
Last updated: 2023-04-03
Stable URL: http://hdl.handle.net/10338.dmlcz/148941
.
Reference: [1] Ebrahimzadeh B., Iranmanesh A., Tehranian A., Parvizi Mosaed H.: A characterization of the Suzuki groups by order and the largest elements order.J. Sci. Islam. Repub. Iran 27 (2016), no. 4, 353–355. MR 3581052
Reference: [2] Gorenstein D.: Finite Groups.Chelsea Publishing Co., New York, 1980. Zbl 0695.20014, MR 0569209
Reference: [3] He L.-G., Chen G.-Y.: A new characterization of $L_{2}(q) $ where $q=p^{n}< 125$.Ital. J. Pure Appl. Math. 28 (2011), 127–136. MR 2922488
Reference: [4] He L. G., Chen G. Y.: A new characterization of $L_{3}(q)$ $(q\leq 8)$ and $U_{3}(q)$ $(q\leq 11)$.J. Southwest China Normal Univ. 27(33) (2011), 81–87. MR 1935864
Reference: [5] He L., Chen G.: A new characterization of simple $K_{4}$-groups with type $L_{2}(p)$.Adv. Math. (China) 43 (2014), no. 5, 667–670. MR 3291316
Reference: [6] He L.-G., Chen G.-Y., Xu H.-J.: A new characterization of sporadic simple groups.Ital. J. Pure Appl. Math. 30 (2013), 373–392. MR 3066520
Reference: [7] Kantor W. M., Seress Á.: Large element orders and the characteristic of Lie-type simple groups.J. Algebra 322 (2009), no. 3, 802–832. MR 2531224, 10.1016/j.jalgebra.2009.05.004
Reference: [8] Li J., Shi W., Yu D.: A characterization of some $ PGL(2,q)$ by maximum element orders.Bull. Korean Math. Soc. 52 (2015), no. 6, 2025–2034. MR 3432734, 10.4134/BKMS.2015.52.6.2025
Reference: [9] Vasil'ev A. V., Grechkoseeva M. A., Mazurov V. D.: Characterization of finite simple groups by spectrum and order.Algebra Logika 48 (2009), no. 6, 685–728, 821, 824 (Russian. English, Russian summary); translation in Algebra Logic 48 (2009), no. 6, 385–409. MR 2640961
Reference: [10] Williams J. S.: Prime graph components of finite groups.J. Algebra 69 (1981), no. 2, 487–513. Zbl 0471.20013, MR 0617092, 10.1016/0021-8693(81)90218-0
.

Files

Files Size Format View
CommentatMathUnivCarolRetro_62-2021-1_3.pdf 184.4Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo