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Hi - I am trying to do some calcs in Mathematica using the FiniteFields package, inside vector spaces over finite fields. I would just like to know whether there are any built-in functions (or available user-defined code workarounds) for functions like the absolute trace or norm functions from a Galois field down to its prime field? All I can see as a possibility in the documentation is that I could laboriously define the Frobenius mapping and then by another laborious routine implement a term-by-term calculation ... surely there is a better way?!! If not, I guess I'll have to do it in GAP which does have this functionality. Thanks!

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This would get much better answers at mathematica.stackexchange.com – David Speyer Oct 17 at 12:46
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This is not going to sound helpful, but I suggest you avoid using Mathematica for linear algebra over finite fields. Here is why I gave up on it: ma.rhul.ac.uk/~uvah099/Images/…. – Mark Wildon Oct 17 at 12:54
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Thanks Gentlemen. I see what you mean Mark - it looks like another example of where Mathematica has bolted on a package (another example is the graph matrix stuff) but not integrated it or made it of any use ... I will try the mathematica zone you mention David. Once again, thank you both for your help. – dct Oct 17 at 14:22

closed as off topic by Andreas Blass, Simon Thomas, Chris Godsil, Henry Cohn, Felipe Voloch Oct 17 at 14:58

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