Lately, I have read a paper dealing with roots of unity.

It claimed that less than p p-th roots of unity were always linearly independant (p obviously are linearly dependant) but gave no proof and unfortunately no reference (probably because this result is very basic).

I have been trying to prove this myself and later to find a proof in a paper but I failed.

Does anyone know where I can find such a proof or can anyone give me the outline of such a proof?

Cheers,Thanks,

Mordin