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Classification of the Normal Subgroups of a Wreath Product 2-Group

Innes, Haley Morgan
http://orcid.org/0000-0003-4643-5002
http://rave.ohiolink.edu/etdc/view?acc_num=akron1523282047441424

Abstract Details

2018, Master of Science, University of Akron, Mathematics.
We consider the additive group of 2-by-2 matrices with entries taken from the ring of integers modulo 8. We construct all those subgroups which are simultaneously invariant under two specific endomorphisms of this group, using a systematic approach that involves solving systems of linear congruences modulo powers of 2. This problem is equivalent to determining all the nontrivial subgroups of a certain type in a particular wreath product finite group whose order is a power of 2.
Jeffrey Riedl, Dr. (Advisor)
James Cossey, Dr. (Committee Member)
Stefan Forcey, Dr. (Committee Member)
Kevin Krieder, Dr. (Committee Chair)
406 p.
Mathematics; Theoretical Mathematics

Recommended Citations

Citations

  • Innes, H. M. (2018). Classification of the Normal Subgroups of a Wreath Product 2-Group [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1523282047441424

    APA Style (7th edition)

  • Innes, Haley. Classification of the Normal Subgroups of a Wreath Product 2-Group. 2018. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1523282047441424.

    MLA Style (8th edition)

  • Innes, Haley. "Classification of the Normal Subgroups of a Wreath Product 2-Group." Master's thesis, University of Akron, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=akron1523282047441424

    Chicago Manual of Style (17th edition)

akron1523282047441424
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