A DECOMPOSITION THEOREM

摘要

In this paper we are concerned with a direct sum decomposition of the p-ary configuration code C( p,G) afforded by a group G. We are able to prove that if p| G or p|G +1, C( p,G) = C{top}^ ( p,G){direct +}U( p,G).We believe that the converse too is true, but here we can prove it only for for groups of order four or less.