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arXiv · 2406.19241

Stiefel-Whitney Classes for Finite Special Linear Groups of Even Rank

Neha Malik·Steven Spallone
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Abstract

We compute the total Stiefel-Whitney Classes (SWCs) for orthogonal representations of special linear groups $\text{SL}(n,q)$ when $n$ and $q$ are odd. These classes are expressed in terms of character values at diagonal elements of order $2$. We give several consequences, and work out the $4$th SWC explicitly, and the $8$th SWC when the $4$th vanishes.

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BibTeXRIS

Neha Malik, Steven Spallone. 2024-06-27. Stiefel-Whitney Classes for Finite Special Linear Groups of Even Rank. https://arxiv.org/abs/2406.19241

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