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math.RT2021
Recursive sequences attached to modular representations of finite groups
Alexandru Chirvasitu, Tara Hudson, Aparna Upadhyay
The core of a finite-dimensional modular representation of a finite group is its largest non-projective summand. We prove that the dimensions of the cores of $M^{\otimes n}…
math.RT2021
The Benson -- Symonds Invariant for Ordinary and Signed Permutation Modules
Aparna Upadhyay
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 D…
math.RT2020
The Benson-Symonds Invariant for Permutation Modules
Aparna Upadhyay
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 m…