Cyclic Division Algebras with Non-norm Elements

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dc.contributor.authorLi, Chengjuko
dc.contributor.authorYue, Qinko
dc.contributor.authorBae, Sunghanko
dc.date.accessioned2014-08-29T04:17:29Z-
dc.date.available2014-08-29T04:17:29Z-
dc.date.created2014-06-03-
dc.date.created2014-06-03-
dc.date.issued2014-06-
dc.identifier.citationALGEBRA COLLOQUIUM, v.21, no.2, pp.275 - 283-
dc.identifier.issn1005-3867-
dc.identifier.urihttp://hdl.handle.net/10203/189041-
dc.description.abstractIn this paper, we construct some cyclic division algebras (K/F,sigma,gamma). We obtain a necessary and sufficient condition of a non-norm element gamma provided that F = Q and K is a subfield of a cyclotomic field Q(zeta p(u)), where pisaprime and zeta p(u) is a p(u) th primitive root of unity. As an application for space time block codes, we alsoconstruct cyclic division algebras (K/F, sigma, gamma), where F = Q(i), i root-1, K is a subfield of Q (zeta 4p(u)) or Q (zeta 4p(1)(u)p(2)(v)) , and gamma = 1+i. Moreover, we describe all cyclic division algebras (K/F, sigma, gamma) such that F = Q(i), K is a subfield of L = Q(zeta 4p(1)(u)p(2)(v)) and gamma = 1+i, where [K : F] = phi(p(1)(u)p(2)(v))/d, d = 2 or 4, phi is the Euler totient function, and p(1), p(2) <= 100 are distinct odd primes.-
dc.languageEnglish-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.titleCyclic Division Algebras with Non-norm Elements-
dc.typeArticle-
dc.identifier.wosid000334733400010-
dc.identifier.scopusid2-s2.0-84940269173-
dc.type.rimsART-
dc.citation.volume21-
dc.citation.issue2-
dc.citation.beginningpage275-
dc.citation.endingpage283-
dc.citation.publicationnameALGEBRA COLLOQUIUM-
dc.identifier.doi10.1142/S1005386714000236-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorBae, Sunghan-
dc.contributor.nonIdAuthorLi, Chengju-
dc.contributor.nonIdAuthorYue, Qin-
dc.type.journalArticleArticle-
dc.subject.keywordAuthornon-norm element-
dc.subject.keywordAuthorcyclic division algebra-
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