Transitive designs constructed from finite groups

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dc.contributor.authorCrnkovic, Dean
dc.contributor.authorMikulic, Vedrana
dc.contributor.authorSvob, Andrea
dc.date.accessioned2024-07-12T20:49:53Z
dc.date.available2024-07-12T20:49:53Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractLet G be a finite group. We describe a construction of 1-designs admitting an automorphism group isomorphic to G. The designs are constructed by defining incidence structures on conjugacy classes of subgroups of the group G. The group G acts transitively on the set of points and the set of blocks of the constructed design. Some of the constructed 1-designs are also 2-designs. We apply this method to construct transitive 2-designs from some finite simple groups. One can use this method to construct other combinatorial structures aditting transitive automorphism group, e.g. strongly regular graphs.en_US
dc.identifier.citationCrnkovic, D., Mikulic, V. ve Svob, A. (2009). Transitive designs constructed from finite groups. Maltepe Üniversitesi. s. 138.en_US
dc.identifier.endpage139en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage138en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2252
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07579
dc.titleTransitive designs constructed from finite groupsen_US
dc.typeConference Object
dspace.entity.typePublication

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