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Semidirect product of groups

Lucija Žnidarič (2014) Semidirect product of groups. Diploma thesis.

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    Abstract

    In this BSc thesis we consider a construction of groups called semidirect product, which is a generalization of direct products. Semidirect products provide a much larger collection of groups than direct products. We find a criterion, which enables us to determine whether a group is isomorphic to a semidirect product and discuss the difference between direct and semidirect products. We construct various examples of semidirect products and in particular semidirect products of cyclic groups. We exemplify that semidirect group products also take a role as symmetry groups of combinatorial objects such as graphs.

    Item Type: Thesis (Diploma thesis)
    Keywords: group, cyclic group, direct product of groups, semidirect product of groups
    Number of Pages: 34
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    doc. dr. Primož ŠparlMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=10255689)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 2580
    Date Deposited: 23 Oct 2014 12:57
    Last Modified: 23 Oct 2014 12:57
    URI: http://pefprints.pef.uni-lj.si/id/eprint/2580

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