{ "id": "2206.11885", "version": "v1", "published": "2022-06-23T17:51:13.000Z", "updated": "2022-06-23T17:51:13.000Z", "title": "A presentation of relative unitary Steinberg groups", "authors": [ "Egor Voronetsky" ], "categories": [ "math.GR" ], "abstract": "We find an explicit presentation of relative odd unitary Steinberg groups constructed by odd form rings and of relative doubly laced Steinberg groups over commutative rings, i.e. the Steinberg groups associated with the Chevalley group schemes of the types $\\mathsf B_\\ell$, $\\mathsf C_\\ell$, $\\mathsf F_4$ for $\\ell \\geq 3$.", "revisions": [ { "version": "v1", "updated": "2022-06-23T17:51:13.000Z" } ], "analyses": { "subjects": [ "19C20" ], "keywords": [ "relative unitary steinberg groups", "doubly laced steinberg groups", "presentation", "relative odd unitary steinberg groups", "odd form rings" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }