Algebraic groups with good reduction and the genus problem
Group Theory
2022-05-03 v1 Algebraic Geometry
Number Theory
Rings and Algebras
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.
Cite
@article{arxiv.2205.00273,
title = {Algebraic groups with good reduction and the genus problem},
author = {Igor A. Rapinchuk},
journal= {arXiv preprint arXiv:2205.00273},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2005.05484