{ "id": "1906.03282", "version": "v1", "published": "2019-06-07T18:23:21.000Z", "updated": "2019-06-07T18:23:21.000Z", "title": "Embeddings of maximal tori in groups of type $F_4$", "authors": [ "Andrew Fiori", "Federico Scavia" ], "categories": [ "math.AG", "math.NT" ], "abstract": "We classify maximal tori in groups of type $F_4$ over a local or global field of characteristic different from $2$ and $3$. We prove a local-global principle for embeddings of maximal tori in groups of type $F_4$.", "revisions": [ { "version": "v1", "updated": "2019-06-07T18:23:21.000Z" } ], "analyses": { "subjects": [ "20G30", "11E12", "20G41" ], "keywords": [ "embeddings", "classify maximal tori", "global field", "local-global principle" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }