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Classification of Doubly-Invariant Subgroups for p=2

Felix, Christina M.
http://rave.ohiolink.edu/etdc/view?acc_num=akron1207936688

Abstract Details

2008, Master of Science, University of Akron, Mathematics.
We consider the additive group of 2-by-2 matriceswith entries taken from the ring of integers modulo 4. We construct all those subgroups which are simultaneously invariant under two particular endomorphisms of this group, using an elaborate overall strategy based on concepts from linear algebra and group theory. We then calculate the orbits of these subgroups under a particular action of GL(2,2). This problem has connections with classification problems for certain subgroups of wreath product finite groups of prime-power order.
Jeffrey Riedl (Advisor)
Mathematics
doubly-invariant subgroups

Recommended Citations

Citations

  • Felix, C. M. (2008). Classification of Doubly-Invariant Subgroups for p=2 [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1207936688

    APA Style (7th edition)

  • Felix, Christina. Classification of Doubly-Invariant Subgroups for p=2. 2008. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1207936688.

    MLA Style (8th edition)

  • Felix, Christina. "Classification of Doubly-Invariant Subgroups for p=2." Master's thesis, University of Akron, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=akron1207936688

    Chicago Manual of Style (17th edition)

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© 2008, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.