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An Algorithmic Analysis of the Intersection Property

Published online by Cambridge University Press:  01 February 2010

Pascale Jacobs  and
Dimitri Leemans
Pascale Jacobs
Affiliation:
Université Libre de Bruxelles, Département de Mathématique, CP. 216 – Géométrie, Boulevard du Triomphe, B-1050 Bruxelles, Belgium, the.jack@swing.be
Dimitri Leemans
Affiliation:
Université Libre de Bruxelles, Département de Mathématique, CP. 216 – Géométrie, Boulevard du Triomphe, B-1050 Bruxelles, Belgium, dleemans@ulb.ac.be, http://cso.ulb.ac.be/~dleemans/

Abstract

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In this paper, efficient algorithms are given to test the intersection property and some of its variations on flag-transitive coset geometries. These algorithms are then applied to geometries of some sporadic groups, namely the Mathieu groups M11, M12, M22 and M23, the Janko groups J1, J2 and J3 and the Higman-Sims group HS.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 7 , 2004 , pp. 284 - 299
Copyright
Copyright © London Mathematical Society 2004

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Supplementary material: File

JCM 7 Jacobs and Leemans Appendix A

Jacobs and Leemans Appendix A

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Supplementary material: File

JCM 7 Jacobs and Leemans Appendix B

Jacobs and Leemans Appendix B

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