The Benson-Symonds Invariant for Permutation Modules

DOI10.1007/S10468-020-10022-WarXiv2012.00341MaRDI QIDQ6354988

Aparna Upadhyay

Publication date: 1 December 2020

Abstract: In a recent paper, Dave Benson and Peter Symonds defined a new invariant $gamm{a}_G(M)$ 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.

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

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