Let G=GL(mβ£n) be a general linear supergroup over an algebraically closed
field \text{bf}k} of odd characteristic p.InthispaperweconstructJantzenfiltrationofWeylmodulesV(\lambda)ofGwhen\lambdaisatypicalweightinthesenseofKacβ²sdefinition,andconsequentlyobtainasumformulafortheircharacters.BySteinbergβ²stensorproducttheorem,itisenoughforustostudytypicalweightswithaimtoformulateirreduciblecharacters.Asanapplication,itturnsoutthatanirreducibleGβmoduleL(\lambda)canberealizedasaKacmoduleifandonlyif\lambdaisp$-typical.Comment: 36 page