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arXiv · 2512.15324

Transfers on $\mathbb A^1$-connected components of quasi-split groups and the norm principle

Amit Hogadi·Anand Sawant
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Abstract

We show that the sheaf of $\mathbb A^1$-connected components of a quasi-split group over a perfect field is a strictly $\mathbb A^1$-invariant sheaf with (Voevodsky) transfers. As a consequence, we show that the norm principle holds for any quasi-split group over a perfect field.

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Amit Hogadi, Anand Sawant. 2025-12-17. Transfers on $\mathbb A^1$-connected components of quasi-split groups and the norm principle. https://arxiv.org/abs/2512.15324

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