Abstract: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.
Keywords: element order; conjugacy class; prime graph; projective special unitary group
DOI: DOI 10.14712/1213-7243.2024.015
AMS Subject Classification: 20D06 20D60