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We discuss the simple constituents of Specht module S for the symmetric group S n defined over the field of p elements. We firstly give an easier proof to the result in  which asserts that there exists a simple constituent of S with the shape of "a branch" of (Theorem 3.3), and secondly give a sufficient condition for to have a particular type branch as a constituent (Proposition 3.4). 2000 Mathematics Subject Classification. 20C30.doi:10.18910/12700 fatcat:kqpprzc4prfuxdgrpgdrwqm3ta