Camina, Alan R.; Gill, Nick and Zalesski, A. E.
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Suppose that a group has socle a simple large-rank classical group. Suppose furthermore that acts transitively on the set of lines of a linear space . We prove that, provided has dimension at least 25, then acts transitively on the set of flags of and hence the action is known. For particular families of classical groups our results hold for dimension smaller than 25.
The group theoretic methods used to prove the result (described in Section 3) are robust and general and are likely to have wider application in the study of almost simple groups acting on finite linear spaces.
|Item Type:||Journal Article|
|Copyright Holders:||2008 The Authors|
|Keywords:||linear space; block design; line-transitive; finite classical group|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics|
|Depositing User:||Nick Gill|
|Date Deposited:||16 Feb 2011 14:51|
|Last Modified:||28 Jun 2013 04:57|
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