Resources

JOMA Article on GE 1.5.8

Online article introducing the classroom utility of group theory visualization using Group Explorer 1.5.8.

Classroom Resources and Homework Assignments

These resources were contributed to the old version's homepage, but are still relevant and usable, perhaps with some tweaking.

Features

Primary features listed here, or read the version 2.1 release notes.

Displays Cayley diagrams, multiplication tables, cycle graphs, and objects with symmetry
Many common group-theoretic computations can be done visually
Compare groups and subgroups via morphisms (see illustration below)
Browsable, searchable group library
Integrated help system (which you can preview on the web)
Save and print images at any scale and quality
Available for Windows XP, Mac OS X, and as source code

Group Explorer Overview

For information beyond the above features list, follow this link to an introduction to all Group Explorer features and visualizations, including multiplication tables, Cayley diagrams, cycle graphs, objects with symmetry, and sheets, including homomorphisms.

The following shareware clearinghouses have found and included Group Explorer, but they only include the Windows version.
Mac and Linux users should use the SourceForge download link.

News

New (Spring 2008): from Nathan's talk at the 2008 Joint Math Meetings, A Talk Without Words: Visualizing Group Theory (PPT format, 2.4MB, download starts immediately).

New (Fall 2007): Cayley diagrams of the symmetric groups up to S₅, of order 5!=120.