Steiner Triple System

A tétel rövid nézete
dc.contributor.advisorFigula, Ágota
dc.contributor.authorWang, Qiannan
dc.contributor.departmentDE--Természettudományi és Technológiai Kar--Matematikai Intézet
dc.date.accessioned2023-05-04T09:46:33Z
dc.date.available2023-05-04T09:46:33Z
dc.date.created2023-05-04
dc.description.abstractIn combinatorial mathematics Steiner triple system, denoted by ST S(v), is a type of block designs. It is a pair (S, T) where S is a set of v elements and T is a set made up of triples of S (also known as blocks), where each pair of S elements appears in a different triple of T. Well-known examples for Steiner triple systems are the finite projective plane of order 2 (which we called the Fano plane) and the finite affine plane of order 3. The former is the unique ST S(7), whereas the latter is the unique ST S(9). The thesis is organized as follows. In Section 2 we give the definitions, some known facts and claims about finite projective and affine geometries, as well as about Steiner triple systems. In Section 3.1 we deal with the proof that the Steiner triple systems of 13 elements are not embeddable systems. Section 3.2 is devoted to the discussion of some interesting Steiner triple systems with 15 elements which are also not embeddable in a finite Desarguesian projective plane.
dc.description.correctorLB
dc.description.courseApplied Mathematics
dc.description.degreeMSc/MA
dc.format.extent34
dc.identifier.urihttps://hdl.handle.net/2437/351820
dc.language.isoen
dc.rights.accessHozzáférhető a 2022 decemberi felsőoktatási törvénymódosítás értelmében.
dc.subjectSteiner triple system
dc.subjectEmbeddable
dc.subject.dspaceDEENK Témalista::Matematika
dc.titleSteiner Triple System
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