Article contents
A systematic approach to symmetric presentations II: Generators of order 3
Published online by Cambridge University Press: 01 January 2000
Abstract
In this paper we conduct a systematic computerized search for groups generated by small, but highly symmetric, sets of elements of order 3. Many classical groups are readily obtained in this way, as are a number of sporadic simple groups. Firstly, we introduce monomial modular representations as these will prove useful later in the paper. Then the techniques of symmetric generation developed elsewhere are described afresh. The results we obtain are presented in a convenient tabular form, together with relevant character tables.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 1 , January 2000 , pp. 1 - 20
- Copyright
- The Cambridge Philosophical Society 2000
- 1
- Cited by