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This paper studies the vertices, in the sense defined by J. A. Green, ofSpecht modules for symmetric groups. The main theorem gives, for eachindecomposable non-projective Specht module, a large subgroup contained in oneof its vertices. A corollary of this theorem is a new way to determine thedefect groups of symmetric groups. We also use it to find the Greencorrespondents of a particular family of simple Specht modules; as a corollary,we get a new proof of the Brauer correspondence for blocks of the symmetricgroup. The proof of the main theorem uses the Brauer homomorphism on modules,as developed by M. Brou{\'e}, together with combinatorial arguments using Youngtableaux.

Vertices of Specht modules and blocks of the symmetric group