The Benson -- Symonds Invariant for Ordinary and Signed Permutation Modules
Representation Theory
2021-01-27 v1 Combinatorics
Group Theory
Abstract
The signed permutation modules are a simultaneous generalization of the ordinary permutation modules and the twisted permutation modules of the symmetric group. In a recent paper Dave Benson and Peter Symonds defined a new invariant for a finite dimensional module of a finite group which attempts to quantify how close a module is to being projective. In this paper, we determine this invariant for all the signed permutation modules of the symmetric group using tools from representation theory and combinatorics.
Cite
@article{arxiv.2101.10612,
title = {The Benson -- Symonds Invariant for Ordinary and Signed Permutation Modules},
author = {Aparna Upadhyay},
journal= {arXiv preprint arXiv:2101.10612},
year = {2021}
}
Comments
14 pages. arXiv admin note: substantial text overlap with arXiv:2012.00341