Symmetrically generated groups
This thesis constructs several groups entirely by hand via their symmetric presentations. In particular, the technique of double coset enumeration is used to manually construct J₃ : 2, the automorphism group of the Janko group J₃, and represent every element of the group as a permutation of PSL₂ (16...
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| Format: | Others |
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CSUSB ScholarWorks
2005
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| Online Access: | https://scholarworks.lib.csusb.edu/etd-project/2902 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3919&context=etd-project |
| Summary: | This thesis constructs several groups entirely by hand via their symmetric presentations. In particular, the technique of double coset enumeration is used to manually construct J₃ : 2, the automorphism group of the Janko group J₃, and represent every element of the group as a permutation of PSL₂ (16) : 4, on 120 letters, followed by a word of length at most 3. |
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