Abstract
We discuss the simple constituents of Specht module $S^{\lambda}$ for the symmetric group $S_n$ defined over the field of $p$ elements. We firstly give an easier proof to the result in [6] which asserts that there exists a simple constituent of $S^{\lambda}$ with the shape of ``a branch'' of $\lambda$ (Theorem 3.3), and secondly give a sufficient condition for $\lambda$ to have a particular type branch as a constituent (Proposition 3.4).
Citation
Yoshimasa Hieda. Yukio Tsushima. "Young diagrams and simple constituents of the Specht modules." Osaka J. Math. 43 (3) 475 - 483, September 2006.
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