Hello,
thank you very much for the clear response and the examples.
I had another question about this: finite fields, seen both as fields
and as vector spaces.
I wanted to take a non-zero element of the bigger field, consider the
cyclic subgroup generated by it, and let it act on the cosets of the
multiplicative group (so in a sense, I want to consider Singer cycles,
which are apparently not yet implemented)
Curiously, however, there seems to be no command to obtain the
multiplicative group of a Galois field?
Kind regards,
Frédéric
Quoting Max Horn <m...@quendi.de>:
Hello again,
there were (at least) two mistakes in my email:
1) This
Dear
should of course have been
"Dear Frédéric"
Sorry! Secondly, as Stefan Kohl pointed out,
[...]
Decomposing w^5 with respect to this basis:
Here, I meant w^6 (and that is what the example code below does).
Cheers,
Max
gap> Coefficients(Basis(W), w^6);
[ Z(3)^0, Z(3)^0, Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ]
We verify this:
gap> w^0 + w - w^2 + w^4 = w^6;
true
Hope that helps,
Max
Thanks in advance,
Kind regards,
Frédéric
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