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Keywords:
element order; conjugacy class; prime graph; projective special unitary group
element order; conjugacy class; prime graph; projective special unitary group
Summary:
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.
References:
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