Visualization software for the abstract algebra classroom

This is a beta release. Help by reporting bugs!

Group Library

All groups up to order 20 plus noteworthy groups of higher order

Visualization Options

Cayley diagrams, multiplication tables, cycle graphs, and other visualizations available

Homomorphisms

Create sheets to see relationships among groups, or have Group Explorer create them for you


Credits

Developed by Nathan Carter and Ray Ellis

Source code repository

Bug reports/feature requests

Citing Group Explorer 3.0

Features

All those listed above, plus:

Book

The textbook Visual Group Theory introduces the subject using almost exclusively visual means, and is a great companion to this software.

Article

There is a 2005 article on the use of Group Explorer 1.5.8 in the classroom, but it has not been updated for the new version.