Group Explorer is a piece of software for visualizing the mathematical objects known as groups. Here are some places you might want to get started:
What to read first
Beginners' tips
- The group library is the main window of Group Explorer and shows all loaded groups. Try double-clicking them to learn more about them.
- If you need help, each window has help buttons on its toolbar, and a help menu at the top. This window is a typical help window. Search help from the menu or toolbar above.
- Group Explorer is all about visualization. To get to some of the cool pictures, double-click a group and then click one of the pictures you see. Or try one of these links:
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New features
- All groups are loaded at startup and appear in the main window.
- Help is now integrated; you are using it right now. Some links in the help take actions--for example, you can open an example multiplication table by clicking here. (Read more.)
- A new visualizer has been introduced: the cycle graph (read the definition, or see the help page).
- Editing visualizations is easier and more powerful. (Read more regarding Cayley diagrams, multiplication tables, cycle graphs, or objects of symmetry.)
- Sheets allow you to compare groups and subgroups and create homomorphisms, lattices of subgroups, and more.
- Cut, copy, paste, drag, drop, undo, and redo are now widely available.
- The interface has been simplified: Drag column headers in a multiplication table to reorganize it; choose a subgroup simply by picking from a list of subgroups; and more.
Old features
gone away
- You can no longer open groups, because all groups are opened at startup. If you do not see a group you hoped to, read about how groups are loaded.
- The navigator and history view are no longer present, because sheets and connecting morphisms will soon make them obsolete
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