{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T23:38:48Z","timestamp":1781048328427,"version":"3.54.1"},"reference-count":6,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2012,6]]},"abstract":"<jats:p> In this paper we introduce the conjugate graph [Formula: see text] associated to a nonabelian group G with vertex set G\\Z(G) such that two distinct vertices join by an edge if they are conjugate. We show if [Formula: see text], where S is a finite nonabelian simple group which satisfy Thompson's conjecture, then G \u2245 S. Further, if central factors of two nonabelian groups H and G are isomorphic and |Z(G)| = |Z(H)|, then H and G have isomorphic conjugate graphs. <\/jats:p>","DOI":"10.1142\/s1793830912500358","type":"journal-article","created":{"date-parts":[[2012,6,19]],"date-time":"2012-06-19T10:55:53Z","timestamp":1340103353000},"page":"1250035","source":"Crossref","is-referenced-by-count":23,"title":["CONJUGATE GRAPHS OF FINITE GROUPS"],"prefix":"10.1142","volume":"04","author":[{"given":"A.","family":"ERFANIAN","sequence":"first","affiliation":[{"name":"Department of Mathematics and Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"B.","family":"TOLUE","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2012,6,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2011.05.043"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/22.6.569"},{"key":"rf4","first-page":"184","volume":"185","author":"Chen G. Y.","journal-title":"J. Algebra"},{"key":"rf5","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1017\/S0027763000016937","volume":"6","author":"It\u00f4 N.","journal-title":"Nagoya Math. J."},{"key":"rf6","first-page":"231","volume":"7","author":"It\u00f4 N.","journal-title":"Osaka J. Math."},{"key":"rf7","volume-title":"Unsolved Problems in Group Theory: The Kourovka Notebook","author":"Khukhro E. I.","year":"2006"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830912500358","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:42:24Z","timestamp":1565116944000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830912500358"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6]]},"references-count":6,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2012,6,21]]},"published-print":{"date-parts":[[2012,6]]}},"alternative-id":["10.1142\/S1793830912500358"],"URL":"https:\/\/doi.org\/10.1142\/s1793830912500358","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6]]}}}