Stiefel-Whitney classes for symmetric groups

Sujeet Bhalerao, Jyotirmoy Ganguly, Steven Spallone

We prove several results about Stiefel-Whitney Classes (SWCs) $w_k(\ddot{I}€)$ of representations $\ddot{I}€$ of $S_n$. First, each SWC is polynomial in the character values of $\ddot{I}€$ at involutio…