{ "id": "1402.1322", "version": "v1", "published": "2014-02-06T11:34:03.000Z", "updated": "2014-02-06T11:34:03.000Z", "title": "Embeddings of (proper) power graphs of finite groups", "authors": [ "Alireza Doostabadi", "Mohammad Farrokhi Derakhshandeh Ghouchan" ], "comment": "10 pages, 2 figures", "categories": [ "math.GR" ], "abstract": "The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of (proper) power graphs of groups are discussed.", "revisions": [ { "version": "v1", "updated": "2014-02-06T11:34:03.000Z" } ], "analyses": { "subjects": [ "05C25", "05C10" ], "keywords": [ "power graph", "finite groups", "embeddings", "distinct vertices" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.1322D" } } }