{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T09:54:29Z","timestamp":1768470869400,"version":"3.49.0"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Integral sets of finite groups are discussed and related to the integral Cayley graphs. The Boolean algebra of integral sets are determined for dihedral group and finite abelian groups. We characterize the finite abelian groups as those finite groups where the Boolean algebra generated by\u00a0 integral sets equals\u00a0 the Boolean algebra generated by its subgroups.<\/jats:p>","DOI":"10.37236\/2053","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:31:59Z","timestamp":1578713519000},"source":"Crossref","is-referenced-by-count":17,"title":["Integral Sets and Cayley Graphs of Finite Groups"],"prefix":"10.37236","volume":"19","author":[{"given":"Roger C.","family":"Alperin","sequence":"first","affiliation":[]},{"given":"Brian L.","family":"Peterson","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2012,2,23]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i1p44\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i1p44\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T22:41:43Z","timestamp":1579300903000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i1p44"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2,23]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2012,2,15]]}},"URL":"https:\/\/doi.org\/10.37236\/2053","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,2,23]]},"article-number":"P44"}}