Group Explorer

Group Explorer is a cool piece of software designed for the abstract algebra classroom. It really helps users visualize group theory, which can make things a lot clearer and easier to understand. With this software, students can build their intuition and play around with different groups!

Interactive Visualizations

One of the best parts about Group Explorer is how interactive each group's picture is. You can study properties by reorganizing a diagram or highlighting different aspects in unique ways. Plus, if you find a view that’s super helpful, you can save it as an image to use in your reports or even on a webpage.

A Library Full of Examples

When you open Group Explorer, you'll see a huge library of groups right in the main window. This is awesome for learning by example, testing out ideas, and really diving into group theory. If you double-click on any group in the library, it opens up a detailed info window packed with useful details about that specific group.

Helpful Links and Resources

The software doesn’t just throw information at you; it’s got tons of helpful links throughout! The help system is robust—group info windows have links to other explanations, help documentation, and even some that create illustrations for you! Every visualizer also comes with its own help button that takes you straight to the relevant help section.

Create Your Own Diagrams

You won’t just be looking at groups alone either. Group Explorer introduces sheets—a neat feature that lets you create homomorphisms between groups and explore complex diagrams like subgroup lattices.

Key Features of Group Explorer

Here are some key features:

• Displays Cayley diagrams, multiplication tables, cycle graphs, and symmetrical objects


• You can perform many common group-theoretic calculations visually!


• Compare groups and subgroups using morphisms


• A browsable and searchable library of groups


• An integrated help system (check it out here)!


• Save and print images at any quality or scale you need!