Algebraic groups with good reduction and the genus problem

Igor A. Rapinchuk

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arXiv · 2205.00273

Algebraic groups with good reduction and the genus problem

Igor A. Rapinchuk

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Abstract

We first provide an overview of several results dealing with the genus of a division algebra and highlight the role of ramification in its analysis. We then give a survey of recent developments on the genus problem for simple algebraic groups and its connections to the analysis of groups with good reduction.

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BibTeX RIS

Igor A. Rapinchuk. 2022-04-30. Algebraic groups with good reduction and the genus problem. https://arxiv.org/abs/2205.00273

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