{ "id": "1105.6172", "version": "v3", "published": "2011-05-31T06:47:11.000Z", "updated": "2011-11-02T18:17:56.000Z", "title": "On central automorphisms of finite p-groups", "authors": [ "Deepak Gumber", "Mahak Sharma" ], "comment": "version 2. To appear in Communications in Algebra", "categories": [ "math.GR" ], "abstract": "We characterize all finite p-groups G of order p^n(n\\leq 6), where p is a prime for n\\leq 5 and an odd prime for n = 6, such that the center of the inner automorphism group of G is equal to the group of central automorphisms of G.", "revisions": [ { "version": "v3", "updated": "2011-11-02T18:17:56.000Z" } ], "analyses": { "subjects": [ "20D45", "20D15" ], "keywords": [ "finite p-groups", "central automorphisms", "inner automorphism group", "odd prime" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.6172G" } } }