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The primitive permutation groups of degree less than 4096

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CommAlgebra2011prim_submitted.pdf (235.5Kb)
Date
14/10/2011
Author
Coutts, Hannah Jane
Quick, Martyn
Roney-Dougal, Colva Mary
Keywords
Group
Permutation
Primitive
QA Mathematics
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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
DOI
https://doi.org/10.1080/00927872.2010.515521
ISSN
0092-7872
Type
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.
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/2045

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