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arXiv · 1801.04955

Tame tori in p-adic groups and good semisimple elements

Jessica Fintzen
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Abstract

Let G be a reductive group over a non-archimedean local field k. We provide necessary conditions and sufficient conditions for all tori of G to split over a tamely ramified extension of k. We then show the existence of good semisimple elements in every Moy-Prasad filtration coset of the group G(k) and its Lie algebra, assuming the above sufficient conditions are met.

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Jessica Fintzen. 2018-01-15. Tame tori in p-adic groups and good semisimple elements. https://arxiv.org/abs/1801.04955

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