Find submodule of CG-module

[tomy123]

Let ψ(a) and ψ(b) be the matrix representation of the generators a,b of a group G.
How can we find 1-dimensional ℂG-submodule of the ℂG-module V≅ℂ⁴ ?

 

[Greg Bernhardt]

Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?