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Let be a nilpotent group normal in a group . Suppose that acts transitively upon the points of a finite non-Desarguesian projective plane . We prove that, if has square order, then must act semi-regularly on .
In addition we prove that if a finite non-Desarguesian projective plane admits more than one nilpotent group which is regular on the points of then has non-square order and the automorphism group of has odd order.
|Item Type:||Journal Article|
|Copyright Holders:||2006 The American Mathematical Society|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Nick Gill|
|Date Deposited:||16 Feb 2011 12:48|
|Last Modified:||08 Aug 2016 15:59|
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