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If $G$ is a finite group, an integral representation of $G$ is a homomorphism $\rho\colon G\to\Aut(\Z^r)$ for some $r\in\Z$, $r> 0$.

The representation $\rho$ is indecomposable if it is not equivalent to the direct sum of integral representations.

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• Review status: beta
• Last edited by John Jones on 2014-09-08 00:49:09.272000