{ "id": "0911.1154", "version": "v1", "published": "2009-11-06T00:13:52.000Z", "updated": "2009-11-06T00:13:52.000Z", "title": "Finite groups with many involutions", "authors": [ "Allan L. Edmonds", "Zachary B. Norwood" ], "categories": [ "math.GR" ], "abstract": "It is shown that a finite group in which more than 3/4 of the elements are involutions must be an elementary abelian 2-group. A group in which exactly 3/4 of the elements are involutions is characterized as the direct product of the dihedral group of order 8 with an elementary abelian 2-group.", "revisions": [ { "version": "v1", "updated": "2009-11-06T00:13:52.000Z" } ], "analyses": { "subjects": [ "20D15" ], "keywords": [ "finite group", "involutions", "elementary abelian" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0911.1154E" } } }