4 papers
Classification of Collisions of Twisted Foulkes Character Polynomials
Aparna Upadhyay
The twisted Foulkes character polynomial is an algebraically defined polynomial attached to an integer partition. We determine precisely how much combinatorial information this pol…
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}…
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…
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…