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Normal Subgroups of Wreath Product 3-Groups

Gopp, Ryan Andrew

Abstract Details

2017, Master of Science, University of Akron, Mathematics.
Consider the regular wreath product group P=Z9 ≀ (Z3 × Z3).The problem of determining all normal subgroups of P that are contained in its base subgroup is equivalent to determining the subgroups of a certain matrix group M that are invariant under two particular endomorphisms of M. This thesis is a partial solution to the latter. We use concepts from linear algebra and group theory to find and count so-called doubly-invariant subgroups of M.
Jeffrey Riedl, Dr. (Advisor)

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Citations

  • Gopp, R. A. (2017). Normal Subgroups of Wreath Product 3-Groups [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1491574066761671

    APA Style (7th edition)

  • Gopp, Ryan. Normal Subgroups of Wreath Product 3-Groups. 2017. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1491574066761671.

    MLA Style (8th edition)

  • Gopp, Ryan. "Normal Subgroups of Wreath Product 3-Groups." Master's thesis, University of Akron, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=akron1491574066761671

    Chicago Manual of Style (17th edition)