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I need a computer program, to help me with some very basic group computations. Specifically, I want to know if some group generated by a few small matrices over a finite field is solvable. Is there a free program or on-line tool which can do this?

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  • $\begingroup$ While Magma is not free, if your calculations are small enough, then you can use their free online calculator: magma.maths.usyd.edu.au/calc $\endgroup$
    – Gordon Royle
    Commented Aug 10, 2015 at 2:12

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Yes, GAP. It has an extensive functionality for computing with matrix groups over finite fields.

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