The primitive permutation groups of degree less than 4096

Hannah Jane Coutts; Martyn Quick; Colva Mary Roney-Dougal

doi:10.1080/00927872.2010.515521

The primitive permutation groups of degree less than 4096

Hannah Jane Coutts, Martyn Quick, Colva Mary Roney-Dougal

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	3526-3546
Number of pages	21
Journal	Communications in Algebra
Volume	39
Issue number	10
DOIs	https://doi.org/10.1080/00927872.2010.515521
Publication status	Published - 14 Oct 2011

Keywords

Group
Permutation
Primitive

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10.1080/00927872.2010.515521

CommAlgebra2011prim submitted
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
Submitted manuscript, 236 KB

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications
Ruskuc, N. (PI) & Quick, M. (CoI)
EPSRC
1/09/05 → 31/08/10
Project: Standard
EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications
Linton, S. A. (PI), Gent, I. P. (CoI), Leonhardt, U. (CoI), Mackenzie, A. (CoI), Miguel, I. J. (CoI), Quick, M. (CoI) & Ruskuc, N. (CoI)
EPSRC
1/09/05 → 31/08/10
Project: Standard

Cite this

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title = "The primitive permutation groups of degree less than 4096",

abstract = "In this paper we use the Classification of the Finite Simple Groups, the O{\textquoteright}Nan–Scott Theorem and Aschbacher{\textquoteright}s theorem to classify the primitive permutationgroups of degree less than 4096. The results will be added to the primitivegroups databases of GAP and Magma.",

keywords = "Group, Permutation, Primitive",

author = "Coutts, {Hannah Jane} and Martyn Quick and Roney-Dougal, {Colva Mary}",

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AU - Quick, Martyn

AU - Roney-Dougal, Colva Mary

N1 - 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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Y1 - 2011/10/14

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AB - 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 permutationgroups of degree less than 4096. The results will be added to the primitivegroups databases of GAP and Magma.

KW - Group

KW - Permutation

KW - Primitive

U2 - 10.1080/00927872.2010.515521

DO - 10.1080/00927872.2010.515521

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 10

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The primitive permutation groups of degree less than 4096

Abstract

Keywords

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Projects

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this