Three-crossed modules

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dc.contributor.authorArvasi, Zekeriya
dc.contributor.authorKuzpınarı, Tufan Sait
dc.contributor.authorUslu, Enver Önder
dc.date.accessioned13.07.201910:50:10
dc.date.accessioned2019-07-29T19:29:11Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-29T19:29:11Z
dc.date.issued2009
dc.departmentFen-Edebiyat Fakültesi
dc.description.abstractWe introduce the notion of a 3-crossed module, which extends the notions of a 1-crossed module (Whitehead) and a 2-crossed module (Conduche). We show that the category of 3-crossed modules is equivalent to the category of simplicial groups having a Moore complex of length 3. We make explicit the relationship with the cat(3)-groups (Loday) and the 3-hypercomplexes (Cegarra-Carrasco), which also model algebraically homotopy 4-types.
dc.description.sponsorshipTUBITAK (The Scientific and Technical Research Council of Turkey) [107T542]
dc.description.sponsorshipThis work was partially supported by TUBITAK (The Scientific and Technical Research Council of Turkey), and Project Number 107T542.
dc.identifier.doi10.4310/HHA.2009.v11.n2.a8
dc.identifier.endpage187en_US
dc.identifier.issn1532-0073
dc.identifier.issn1532-0081
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ3
dc.identifier.startpage161en_US
dc.identifier.urihttps://doi.org/10.4310/HHA.2009.v11.n2.a8
dc.identifier.urihttps://hdl.handle.net/20.500.12451/6138
dc.identifier.volume11en_US
dc.identifier.wosWOS:000281747000002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherInternational Press of Boston
dc.relation.ispartofHomology, Homotopy and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCrossed Module
dc.subject2-Crossed Module
dc.subjectSimplicial Group
dc.subjectMoore Complex
dc.titleThree-crossed modules
dc.typeArticle

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