Computing Subgroups of Bounded Index in a Finite Group

Authors

John J. Cannon, University of Sydney
Derek F. Holt, University of Warwick
Michael Slattery, Marquette UniversityFollow
Allan K. Steel, University of Sydney

Document Type

Article

Language

eng

Publication Date

8-2005

Publisher

Elsevier

Source Publication

Journal of Symbolic Computation

Source ISSN

0747-7171

Abstract

We describe a practical algorithm for computing representatives of the conjugacy classes of subgroups up to a given index in a finite group. This algorithm has been implemented in Magma, and we present some performance statistics.

Comments

Journal of Symbolic Computation, Vol. 40, No. 2 (August 2005): 1013-1022. DOI.

Recommended Citation

Cannon, John J.; Holt, Derek F.; Slattery, Michael; and Steel, Allan K., "Computing Subgroups of Bounded Index in a Finite Group" (2005). Mathematics, Statistics and Computer Science Faculty Research and Publications. 611.
https://epublications.marquette.edu/mscs_fac/611