Sujeet Bhalerao

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math.RT2026

Stiefel-Whitney classes for symmetric groups

Sujeet Bhalerao, Jyotirmoy Ganguly, Steven Spallone

We prove several results about Stiefel-Whitney Classes (SWCs) $w_{k} (π)$ of representations $π$ of $S_{n}$ . First, each SWC is polynomial in the character values of $π$ at involutions.…

math.RT2023

Stiefel-Whitney Classes Of Representations Of Dihedral Groups

Sujeet Bhalerao, Rohit Joshi, Neha Malik

We compute the Stiefel-Whitney Classes for representations of dihedral groups $D_{m}$ in terms of character values of order two elements. We also provide criteria to identify represe…