## Semi-presentations for the sporadic simple groups.(English)Zbl 1087.20025

A semi-presentation for a group $$G$$ is a set of relations which characterizes a set of generators of $$G$$ up to automorphisms. In this paper, the authors discuss some techniques for finding semi-presentations and illustrate them by exhibiting semi-presentations of the 26 sporadic simple groups and their automorphism groups. Then they show how these semi-pesentations were used to check the data in their previous joint works [R. A. Wilson et al., ATLAS of Finite Group Representations (2004; http://mat.bham.ac.uk)]. The web page offers access to supplementary material: associated GAP programs.
Reviewer: Shi Wujie (Suzhou)

### MSC:

 20F05 Generators, relations, and presentations of groups 20D08 Simple groups: sporadic groups 20C40 Computational methods (representations of groups) (MSC2010)

### Software:

ATLAS Group Representations
Full Text: