Author:
Curtis R. T.,Hammas A. M. A.,Bray J. N.
Abstract
AbstractIn this paper we conduct a systematic, computerized search for groups generated by small, but highly symmetric, sets of involutions. Many classical groups are readily obtained in this way, as are a number of sporadic simple groups. The techniques of symmetric generation developed elsewhere are described afresh, and the results are presented in a convenient tabular form.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
1. Symmetric presentations and linear groups
2. [6] Curtis R. T. . Symmetric Presentations I: Introduction, with particular reference to the Mathieu groups M 12 and M 24, Proceedings of the L M.S. Durham Conference on ‘Groups and Combinatorics’ (1990).
3. Symmetric Presentations II: The Janko Group J
1
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Symmetric presentations of Coxeter groups;Proceedings of the Edinburgh Mathematical Society;2011-06-20
2. Symmetric generation of the Rudvalis group;Journal of the London Mathematical Society;2010-09-15
3. Finitely presented algebras and groups defined by permutation relations;Journal of Pure and Applied Algebra;2010-07
4. The Leech lattice Λ and the Conway group ⋅ revisited;Transactions of the American Mathematical Society;2009-10-20
5. Symmetric representation of the elements of the Conway group ⋅0;Journal of Symbolic Computation;2009-08