Dear Forum, Dear Saad Awaid,
I am trying to write some code to find Z(chi);
where Z(\chi ) = \{ g \in G\left| {\left| {\chi (g)} \right| =
\chi (1)\} } \right
it seems that GAP doesn't contain function to find the magnitude
for complex number?
|x|^2=x* conjugate(x), complex conjugate denoted by
GaloisCyc(x,-1);
Thus you could check whether chi[g]*GaloisCyc(chi[g],-1)=chi[1]^2
If chi is a proper class function, you also coud simply use
CenterOfCharacter
instead of writing your own function.
Best,
Alexander Hulpke
-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: hul...@math.colostate.edu, Phone: ++1-970-4914288
http://www.math.colostate.edu/~hulpke
_______________________________________________
Forum mailing list
Forum@mail.gap-system.org
http://mail.gap-system.org/mailman/listinfo/forum
