Blocks of defect zero for the symmetric group

Abstract EN

The main result of this paper is to find (if exist) the spin blocks of defect zero to thedecomposition matrix ofthe spin characters of the symmetric group on a field with characteristic p =3, also to find the general formula of the spin blocks of defect zero (if exist) to the decomposition matrices of the spin characters of the symmetric group on fields with characteristic = p 5, 7.