MANUAL SYMMETRIC GENERATION
We will examine progenitors. We begin with progenitors of the from $m^{*n} : N$ where $m^{*n}$ is a free group and $N$ is a permutation group of degree $n$. Now $m^{*n} : N$ is a group of infinite order so we will factor by the necessary relations to get the finite homomorphic images. We construct t...
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| Format: | Others |
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CSUSB ScholarWorks
2018
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| Online Access: | https://scholarworks.lib.csusb.edu/etd/785 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1863&context=etd |
| Summary: | We will examine progenitors. We begin with progenitors of the from $m^{*n} : N$ where $m^{*n}$ is a free group and $N$ is a permutation group of degree $n$. Now $m^{*n} : N$ is a group of infinite order so we will factor by the necessary relations to get the finite homomorphic images. We construct these groups through the method of double coset enumeration paying special attention to the proving of each relation. |
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