Group Explorer

Group Explorer is mathematical visualization software for the abstract algebra classroom.

It helps the user visualize group theory, builds students' intuition, and enables experimentation with groups.

Each picture of a group is very interactive. Study properties of the group by reorganizing a diagram or highlighting it in different ways. Save useful views as images to use in a report or on a web page.

Group Explorer comes with a vast library of groups, the main window that loads when you open the software. This is very hand for learning by example, for testing conjectures, and getting one's hands dirty in the real subject matter of group theory. Each group in the library, when double-clicked opens a group info window, full of useful information about the group.

Many portions of the software contain links to useful explanations. Not only is the help system very robust, but group info windows contain many links, some within themselves, others to the help documentation, and others which dynamically generate illustrations for you! Moreover, each visualizer comes with a help button that will take you directly to the help for that specific visualizer.

You need not be content with examining groups in isolation. Sheets are a very important new concept in Group Explorer, enabling you to create homomorphisms between groups, see complex diagrams like subgroup lattices, and more.

Here are some key features of "Group Explorer":

￭ 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 ￭ Browsable, searchable group library ￭ Integrated help system (which you can preview on the web) ￭ Save and print images at any scale and quality