| Title: | Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order |
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| Authors: | ID Dobson, Edward Tauscher (Author) |
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| Files: |  http://amc.imfm.si/index.php/amc/article/viewFile/120/116
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | We show that almost every Cayley graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order has automorphism group as small as possible. Additionally, we show that almost every Cayley (di)graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order that does not have automorphism group as small as possible is a normal Cayley (di)graph of ▫$G$▫ (that is, ▫$G_L \triangleleft {\rm Aut}(\Gamma))$▫. |
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| Keywords: | mathematics, graph theory, Cayley graph, abelian group, automorphism group, asymptotic, ▫$p$▫-group |
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| Year of publishing: | 2010 |
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| Number of pages: | str. 201-214 |
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| Numbering: | Vol. 3, no. 2 |
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| PID: | 20.500.12556/RUP-2850  |
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| ISSN: | 1855-3966 |
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| UDC: | 519.17:512.54 |
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| COBISS.SI-ID: | 15870041 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 6464 |
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| Downloads: | 155 |
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| Metadata: |    |
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