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.
- J. Cannon. Construction of defining relators for finite groups. Discr. Math., (5):105--129, 1973.Google Scholar
- V. Gebhardt. Two short presentations for the Lyons sporadic simple group. Exp. Math., 9(3):333--338, 2000.Google ScholarCross Ref
- R. Lyons. Evidence for a new finite simple group. J. Algebra, (20):540--569, 1972.Google ScholarCross Ref
- C. Parker. Generators and relations for the Lyons sporadic simple group. Arch. der Math., (78):97--103, 2002.Google Scholar
Index Terms
- Heuristics for cannon's algorithm with an application to lyons sporadic group
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