Abstract: TWe determine the character of the action of the symmetric group on the homology of the induced subposet of the lattice of partitions of $\{1,2,\dots,n\}$ obtained by restricting block sizes to the set $\{1,k,k+1,\dots\}$. A plethystic formula for the generating function of the Frobenius characteristic of the representation is given. We combine techniques from the theory of nonpure shellability, recently developed by Bj\"orner and Wachs, with symmetric function techniques, developed by Sundaram, for determining representations on the homology of subposets of the partition lattice.
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