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Published online by Cambridge University Press: 20 January 2009
Let p be an odd prime and let GL(2, p) denote the general linear group of invertible 2x2 matrices with entries in the field of p elements. The groupPGL(2, p) is the factor of GL(2,p) by its centre and has derived group PSL(2,p) with derived factor C2, the cyclic group of order 2.