Recognizing simple projective linear groups PSL(p; q) by their order and one conjugacy class length
Resumen
Let r = (q^p−1)/(q−1)(p,q−1) be a prime number, where q is a prime power and p is an odd prime. In this paper, we will show that G = PSL(p; q) if and only if jGj = jPSL(p; q)j and G has a conjugacy class of size jGL( (qp-p;q 1))j.
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