Let <em>kem> be an algebraically closed field of prime characteristic <em>pem>, <em>Gem> a finite group and <em>Pem> a <em>pem>-subgroup of <em>G em>. We investigate the relationship between the fusion system lsi1" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316303416&_mathId=si1.gif&_user=111111111&_pii=S0021869316303416&_rdoc=1&_issn=00218693&md5=841aab88b1c39386fb5e6b8daa315f0e" title="Click to view the MathML source">FP(G)lass="mathContainer hidden">lass="mathCode"> and the Brauer indecomposability of the Scott <em>kGem>-module in the case that <em>Pem> is not necessarily abelian. We give an equivalent condition for Scott <em>kGem>-module with vertex <em>Pem> to be Brauer indecomposable.