Isotypic rigidity conjecture for Chevalley groups
Isotypic rigidity conjecture for Chevalley groups
Let be a Chevalley group associated with a root system over a ring , and let be a group isotypic to . Isotypic rigidity conjecture for Chevalley groups. Then there is a ring such that is isomorphic to and and are isotypic rings. This refines the general rigidity question by predicting that isotypic Chevalley groups arise from isotypic coefficient rings, while the broader problem of classifying isotypic finitely generated groups remains open.
Sources & referencesView supporting material
Primary source
Eugene Plotkin, “On first order rigidity for linear groups”, arXiv:2010.03989 (2020).
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