A new characterization of projective special unitary group PSU$(5, q)$
Commentationes Mathematicae Universitatis Carolinae, Tome 65 (2024) no. 1, pp. 1-12
Projective special unitary groups ${\rm PSU}(5,q)$, where $$ \frac{q^4-q^3+q^2-q+1}{(5,q+1)} $$ is a prime, is uniquely determined by its order and the size of one conjugacy class.
Projective special unitary groups ${\rm PSU}(5,q)$, where $$ \frac{q^4-q^3+q^2-q+1}{(5,q+1)} $$ is a prime, is uniquely determined by its order and the size of one conjugacy class.
Classification :
20D06, 20D60
Keywords: element order; conjugacy class; prime graph; projective special unitary group
Keywords: element order; conjugacy class; prime graph; projective special unitary group
@article{10_14712_1213_7243_2024_015,
author = {Ebrahimzadeh, Behnam},
title = {A new characterization of projective special unitary group {PSU}$(5, q)$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {1--12},
year = {2024},
volume = {65},
number = {1},
doi = {10.14712/1213-7243.2024.015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2024.015/}
}
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Ebrahimzadeh, Behnam. A new characterization of projective special unitary group PSU$(5, q)$. Commentationes Mathematicae Universitatis Carolinae, Tome 65 (2024) no. 1, pp. 1-12. doi: 10.14712/1213-7243.2024.015
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