{ "id": "1210.2225", "version": "v1", "published": "2012-10-08T10:44:53.000Z", "updated": "2012-10-08T10:44:53.000Z", "title": "On Rouquier Blocks for Finite Classical Groups at Linear Primes", "authors": [ "Michael Livesey" ], "comment": "40 pages", "categories": [ "math.RT" ], "abstract": "H. Miyachi and W. Turner have independently proved that Broue's Abelian Defect Group Conjecture holds for certain unipotent blocks of the finite general linear group, the so-called Rouquier blocks. This together with A. Marcus and J. Chuang and R. Rouquier proves that the conjecture holds for all blocks of such groups. We prove that other finite classical groups also possess unipotent Rouquier blocks at linear primes.", "revisions": [ { "version": "v1", "updated": "2012-10-08T10:44:53.000Z" } ], "analyses": { "subjects": [ "20C33" ], "keywords": [ "finite classical groups", "linear primes", "abelian defect group conjecture holds", "broues abelian defect group conjecture", "possess unipotent rouquier blocks" ], "note": { "typesetting": "TeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1210.2225L" } } }