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Subgroups of Finite Wreath Product Groups for p=3

Gonda, Jessica Lynn
http://rave.ohiolink.edu/etdc/view?acc_num=akron1460027790

Abstract Details

, Master of Science, University of Akron, Applied Mathematics.
Let M be the additive abelian group of 3-by-3 matrices whose entries are from the ring of integers modulo 9. The problem of determining all the normal subgroups of the regular wreath product group P=Z9≀(Z3 × Z3) that are contained in its base subgroup is equivalent to the problem of determining the subgroups of M that are invariant under two particular endomorphisms of M. In this thesis we give a partial solution to the latter problem by implementing a systematic approach using concepts from group theory and linear algebra.
Jeffrey Reidl, Dr. (Advisor)
Hung Nguyen, Dr. (Other)
James Cossey, Dr. (Other)
Applied Mathematics; Mathematics; Theoretical Mathematics
applied math; mathematics, group theory, abstract algebra, wreath products

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Citations

  • Gonda, J. L. (n.d.). Subgroups of Finite Wreath Product Groups for p=3 [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1460027790

    APA Style (7th edition)

  • Gonda, Jessica. Subgroups of Finite Wreath Product Groups for p=3. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1460027790.

    MLA Style (8th edition)

  • Gonda, Jessica. "Subgroups of Finite Wreath Product Groups for p=3." Master's thesis, University of Akron. Accessed APRIL 20, 2024. http://rave.ohiolink.edu/etdc/view?acc_num=akron1460027790

    Chicago Manual of Style (17th edition)

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