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ARPN Journal of Science and Technology >> Volume 7, Issue 2, November 2017

ARPN Journal of Science and Technology


On the Reducibility Modulo p of Simple Modules

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Author Pedro Manuel Dominguez Wade
ISSN 2225-7217
On Pages 1019-1021
Volume No. 3
Issue No. 10
Issue Date November 01, 2013
Publishing Date November 01, 2013
Keywords reduction modulo p;G-weight.



Abstract

Let (F;R; k) be a splitting p-modular system for the finite group G and let P ∈ Syl p(G) fixed. In this paper we show that a simple kG-module 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.


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