Hi i need some help solving the following problem:
What i know:
The following does not hold for p=2 since an inverse does not hold.
but find it diffecult to show that this holds for primes p> 3.
Thanks
For a prime $\displaystyle p\geq 3$ we have that $\displaystyle 1\neq -1$ and thus it's easy to show that $\displaystyle dim S_n+dim A_n=dim M_n\,,\,\,M_n=$ all the square nxn matrices over the field...complete the proof now.