Strong simplicity of groups and vertex - transitive graphs
<p>In the course of exploring various symmetries of vertex-transitive graphs, we introduce the concept of quasi-normal subgroups in groups. This is done since the symmetries of vertex-transitive graphs are intimately linked to those, fait accompli, of groups. With this, we ask if the concept o...
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ndltd-UNWC-oai-UWC_ETD-http%3A%2F%2Fetd.uwc.ac.za%2Findex.php%3Fmodule%3Detd%26action%3Dviewtitle%26id%3Dgen8Srv25Nme4_6774_13623936872013-03-05T16:12:49Z Strong simplicity of groups and vertex - transitive graphs Fadhal, Emad Alden Sir Alkhatim Abraham symmetries of vertex-transitive <p>In the course of exploring various symmetries of vertex-transitive graphs, we introduce the concept of quasi-normal subgroups in groups. This is done since the symmetries of vertex-transitive graphs are intimately linked to those, fait accompli, of groups. With this, we ask if the concept of strongly simple groups has a place for consideration. We have shown that for n > 5, An, the alternating group on n odd elements, is not strongly simple.</p> 2010 Thesis and dissertation Pdf http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_6774_1362393687 English ZA Copyright: University of the Western Cape |
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language |
English |
format |
Others
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sources |
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symmetries of vertex-transitive |
spellingShingle |
symmetries of vertex-transitive Fadhal, Emad Alden Sir Alkhatim Abraham Strong simplicity of groups and vertex - transitive graphs |
description |
<p>In the course of exploring various symmetries of vertex-transitive graphs, we introduce the concept of quasi-normal subgroups in groups. This is done since the symmetries of vertex-transitive graphs are intimately linked to those, fait accompli, of groups. With this, we ask if the concept of strongly simple groups has a place for consideration. We have shown that for n > === 5, An, the alternating group on n odd elements, is not strongly simple.</p> |
author |
Fadhal, Emad Alden Sir Alkhatim Abraham |
author_facet |
Fadhal, Emad Alden Sir Alkhatim Abraham |
author_sort |
Fadhal, Emad Alden Sir Alkhatim Abraham |
title |
Strong simplicity of groups and vertex - transitive graphs |
title_short |
Strong simplicity of groups and vertex - transitive graphs |
title_full |
Strong simplicity of groups and vertex - transitive graphs |
title_fullStr |
Strong simplicity of groups and vertex - transitive graphs |
title_full_unstemmed |
Strong simplicity of groups and vertex - transitive graphs |
title_sort |
strong simplicity of groups and vertex - transitive graphs |
publishDate |
2010 |
url |
http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_6774_1362393687 |
work_keys_str_mv |
AT fadhalemadaldensiralkhatimabraham strongsimplicityofgroupsandvertextransitivegraphs |
_version_ |
1716578254313226240 |