Volume no :24, Issue no: 1, November

Journal of Mathematical Sciences: Advances and Applications

ON THE REDUCIBILITY MODULO OF SIMPLE MODULES

Author's: PEDRO MANUEL DOMINGUEZ WADE
Pages: [1] - [11]
Received Date: October 16, 2013
Submitted by:

Abstract

Let be a splitting p-modular system for the finite group G and let fixed. In this paper, we show that a simple S is the reduction modulo p of an RG-lattice, if and only if S is isomorphic to a direct summand of the induced module from P to G.

Keywords

reduction modulo p, G-weight.