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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| Format: | Others |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_6774_1362393687 |
| Summary: | <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> |
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