The primitive permutation groups of degree less than 4096
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In this paper we use the Classification of the Finite Simple Groups, the O’Nan– Scott Theorem and Aschbacher’s theorem to classify the primitive permutation groups of degree less than 4096. The results will be added to the primitive groups databases of GAP and Magma.
Coutts , H J , Quick , M & Roney-Dougal , C M 2011 , ' The primitive permutation groups of degree less than 4096 ' Communications in Algebra , vol 39 , no. 10 , pp. 3526-3546 . DOI: 10.1080/00927872.2010.515521
Communications in Algebra
This is a preprint of an article whose final and definitive form has been published in Communications in Algebra, copyright © 2011 Taylor & Francis, which is available online at: http://www.tandfonline.com/doi/abs/10.1080/00927872.2010.515521
The first author is supported by an EPSRC doctoral training grant. The second and third authors acknowledge the support of EPSRC grant number EP/C523229/1.
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