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Constructive recognition of classical groups in odd characteristic
2009
Journal of Algebra
Let G = X GL(d, F ) be a classical group in its natural representation defined over a finite field F of odd characteristic. We present Las Vegas algorithms to construct standard generators for G which permit us to write an element of G as a straight-line program in X. The algorithms run in polynomial-time, subject to the existence of a discrete logarithm oracle for F .
doi:10.1016/j.jalgebra.2009.04.028
fatcat:2sbas3gmufbbldoyiwhqn6ygpe