Algebraic groups with good reduction and the genus problem

Published 30 Apr 2022 in math.GR, math.AG, math.NT, and math.RA | (2205.00273v1)

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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Authors (1)

Igor A. Rapinchuk

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