Camina, Alan R.; Gill, Nick and Zalesski, A. E.
(2008).

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URL:  http://projecteuclid.org/euclid.bbms/1225893950 

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Abstract
Suppose that a group has socle a simple largerank 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 
ISSN:  13701444 
Keywords:  linear space; block design; linetransitive; finite classical group 
Academic Unit/Department:  Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology 
Item ID:  28191 
Depositing User:  Nick Gill 
Date Deposited:  16 Feb 2011 14:51 
Last Modified:  21 Jan 2016 04:41 
URI:  http://oro.open.ac.uk/id/eprint/28191 
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