Group Explorer

Introduction Download Documentation Gallery Groups Vision Links Acknowledgments

Welcome to the Group Explorer home page!

NEW! - Group Explorer article in JOMA!
An article about Group Explorer is now available in the online journal JOMA.
Read the article here.

NEW! - Group Explorer 2.0 has been released!
You can get your (beta) copy here: The Group Explorer 2.0 homepage
NOTE: The website you are on right now is for the old version.
(No releases or bug fixes on this version are planned.
This website is still around as a service to those who have not yet upgraded.)

The Downloads Page has the last release of the Windows version (1.5.8) available for download. (Newer versions are in the 2.0-series, at the link above.)

What is Group Explorer?

   Group Explorer is software that lets the user explore and manipulate groups first-hand.  Its primary uses are

bulletto provide visualization tools in a subject that lacks them,
bulletto build and enrich intuition for students of group theory,
bulletand to accelerate investigation and experimentation with groups.

   Users load groups from an extensive library, then instruct Group Explorer to display and manipulate Cayley diagrams, objects of symmetry, multiplication tables, and more.  Pointing and clicking navigates through the group using its generators, which Group Explorer displays as 3D animated manipulations of Cayley diagrams and symmetry objects.  Group Explorer can also highlight properties of a group (e.g., cosets, conjugacy classes), giving the user immediate access to deeper investigation of any on-screen group.

   Interested?  Read more!

Group Explorer is designed to be a pedagogical tool especially useful for first-time abstract algebra students and courses.

Screenshots:

 

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The list of contributors to the Group Explorer project can be found on the Acknowledgements page.

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For more information about Group Explorer, or to give feedback, contact Nathan Carter at: ncarter@bentley.edu.