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http://ir.mu.ac.ke:8080/jspui/handle/123456789/9901
Title: | Nilpotent Covers of Small Symmetric and Alternating Groups |
Authors: | Kimeu, Arphaxad Ngwava Nyamwala, Fredrick Gill, Nick Short, Ian |
Keywords: | Alternating group; nilpotent cover |
Issue Date: | May-2025 |
Publisher: | Alkindi Center for Research |
Abstract: | We compute the size of a minimal nilpotent cover for small alternating and symmetric groups, An and Sn. We give precise values for values of n up to 8. For n=9 we give upper and lower bounds for the size of a minimal nilpotent cover of A9. |
URI: | http://ir.mu.ac.ke:8080/jspui/handle/123456789/9901 |
Appears in Collections: | School of Biological and Physical Sciences |
Files in This Item:
File | Description | Size | Format | |
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Nilpotent_Covers_of_Small_Symmetric_and_Alternatin.pdf | 293.38 kB | Adobe PDF | View/Open |
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