Browsing School of Pure and Applied Sciences by Author "Gill, Nick"
Now showing items 1-1 of 1
-
Nilpotent covers of symmetric and alternating groups
Gill, Nick; Kimeu, Arphaxad Ngwava; Short, Ian (2020)We prove that the symmetric group Sn has a unique minimal cover M by maximal nilpotent subgroups, and we obtain an explicit and easily computed formula for the order of M. In addition, we prove that the order of M is ...