Realizable Dicyclic Groups
- ASU Author/Contributor (non-ASU co-authors, if there are any, appear on document)
- Lindsey Wise (Creator)
- Institution
- Appalachian State University (ASU )
- Web Site: https://library.appstate.edu/
- Advisor
- William Cook
Abstract: It is well-known that the units of a ring forms a group called the group of units. A group that is the group of units for some ring is said to be realizable. Fuchs’ problem asks whether a given group is realizable by some ring. In this paper, we present the resolution of Fuchs’ problem for dihedral groups as given in [CL1]. We then present partial results for dicyclic groups. For dicyclic groups of order 12 and smaller, our results are complete.
Realizable Dicyclic Groups
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Created on 1/26/2021
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Additional Information
- Publication
- Honors Project
- Wise, L. (2020). Realizable Dicyclic Groups. Unpublished Honors Thesis. Appalachian State University, Boone, NC.
- Language: English
- Date: 2020
- Keywords
- Fuchs' Problem, group theory, ring theory, unit groups