The primitive permutation groups of degree less than 4096
Abstract
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.
Citation
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 . https://doi.org/10.1080/00927872.2010.515521
Publication
Communications in Algebra
Status
Peer reviewed
ISSN
0092-7872Type
Journal article
Rights
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
Description
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.Collections
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