Symmetric representation of elements of finite groups
The purpose of the thesis is to give an alternative and more efficient method for working with finite groups by constructing finite groups as homomorphic images of progenitors. The method introduced can be applied to all finite groups that possess symmetric generating sets of involutions. Such group...
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2006
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| Online Access: | https://scholarworks.lib.csusb.edu/etd-project/3105 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=4178&context=etd-project |
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ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-project-41782019-10-23T03:35:07Z Symmetric representation of elements of finite groups George, Timothy Edward The purpose of the thesis is to give an alternative and more efficient method for working with finite groups by constructing finite groups as homomorphic images of progenitors. The method introduced can be applied to all finite groups that possess symmetric generating sets of involutions. Such groups include all finite non-abelian simple groups, which can then be constructed by the technique of manual double coset enumeration. 2006-01-01T08:00:00Z text application/pdf https://scholarworks.lib.csusb.edu/etd-project/3105 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=4178&context=etd-project Theses Digitization Project CSUSB ScholarWorks Finite groups Group theory Symmetry (Mathematics) Symmetry groups Representations of groups Finite groups Group theory Representations of groups Symmetry groups Symmetry (Mathematics) Mathematics |
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Others
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NDLTD |
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Finite groups Group theory Symmetry (Mathematics) Symmetry groups Representations of groups Finite groups Group theory Representations of groups Symmetry groups Symmetry (Mathematics) Mathematics |
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Finite groups Group theory Symmetry (Mathematics) Symmetry groups Representations of groups Finite groups Group theory Representations of groups Symmetry groups Symmetry (Mathematics) Mathematics George, Timothy Edward Symmetric representation of elements of finite groups |
| description |
The purpose of the thesis is to give an alternative and more efficient method for working with finite groups by constructing finite groups as homomorphic images of progenitors. The method introduced can be applied to all finite groups that possess symmetric generating sets of involutions. Such groups include all finite non-abelian simple groups, which can then be constructed by the technique of manual double coset enumeration. |
| author |
George, Timothy Edward |
| author_facet |
George, Timothy Edward |
| author_sort |
George, Timothy Edward |
| title |
Symmetric representation of elements of finite groups |
| title_short |
Symmetric representation of elements of finite groups |
| title_full |
Symmetric representation of elements of finite groups |
| title_fullStr |
Symmetric representation of elements of finite groups |
| title_full_unstemmed |
Symmetric representation of elements of finite groups |
| title_sort |
symmetric representation of elements of finite groups |
| publisher |
CSUSB ScholarWorks |
| publishDate |
2006 |
| url |
https://scholarworks.lib.csusb.edu/etd-project/3105 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=4178&context=etd-project |
| work_keys_str_mv |
AT georgetimothyedward symmetricrepresentationofelementsoffinitegroups |
| _version_ |
1719275876149886976 |