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Heuristics for cannon's algorithm with an application to lyons sporadic group

Published:28 January 2011Publication History
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Abstract

This article is devoted to describing heuristics to improve the efficiency of Cannon's algorithm. As an application, the method is used to derive a new presentation for the Lyons sporadic group.

References

  1. J. Cannon. Construction of defining relators for finite groups. Discr. Math., (5):105--129, 1973.Google ScholarGoogle Scholar
  2. V. Gebhardt. Two short presentations for the Lyons sporadic simple group. Exp. Math., 9(3):333--338, 2000.Google ScholarGoogle ScholarCross RefCross Ref
  3. R. Lyons. Evidence for a new finite simple group. J. Algebra, (20):540--569, 1972.Google ScholarGoogle ScholarCross RefCross Ref
  4. C. Parker. Generators and relations for the Lyons sporadic simple group. Arch. der Math., (78):97--103, 2002.Google ScholarGoogle Scholar

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  1. Heuristics for cannon's algorithm with an application to lyons sporadic group

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          cover image ACM Communications in Computer Algebra
          ACM Communications in Computer Algebra  Volume 44, Issue 3/4
          September/December 2010
          145 pages
          ISSN:1932-2240
          DOI:10.1145/1940475
          Issue’s Table of Contents

          Copyright © 2011 Author

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 28 January 2011

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