The Benson - Symonds Invariant for Permutation Modules |
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Authors: | Upadhyay Aparna |
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Institution: | 1.Department of Mathematics, University at Buffalo, SUNY, 244 Mathematics Building, Buffalo, NY, 14260, USA ; |
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Abstract: | In a recent paper, Dave Benson and Peter Symonds defined a new invariant γG(M) for a finite dimensional module M of a finite group G which attempts to quantify how close a module is to being projective. In this paper, we determine this invariant for permutation modules of the symmetric group corresponding to two-part partitions using tools from representation theory and combinatorics. |
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