{ "id": "2208.07913", "version": "v1", "published": "2022-08-16T19:19:40.000Z", "updated": "2022-08-16T19:19:40.000Z", "title": "Classifying spaces of finite groups of tame representation type", "authors": [ "David J. Benson" ], "comment": "120 pages", "categories": [ "math.RT", "math.AT", "math.GR" ], "abstract": "Thanks to the work of Karin Erdmann, we know a great deal about the representation theory of blocks of finite groups with tame representation type. Our purpose here is to examine the $p$-completed classifying spaces of these blocks and their loop spaces. We pay special attention to the $A_\\infty$ algebra structures, and singularity and cosingularity categories.", "revisions": [ { "version": "v1", "updated": "2022-08-16T19:19:40.000Z" } ], "analyses": { "subjects": [ "20J06", "16E45", "55P35", "55P60", "55S30" ], "keywords": [ "tame representation type", "finite groups", "pay special attention", "algebra structures", "karin erdmann" ], "note": { "typesetting": "TeX", "pages": 120, "language": "en", "license": "arXiv", "status": "editable" } } }