Electronic atlases of groups as research tool in group theory and its application

This paper presents an electronic atlas of triples of involutions that generate a finite simple group and two involutions of each triple are commute. The atlas contains the data reflecting the work of several authors on the issues related to the search of such triples, and the experience of using computer calculations (including parallel) in these studies as well. The author proves the usage of such atlases as a research tool in group theory and applications.