Group Explorer 2.1

Introduction to Key Features

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Cycle Graphs

Cycle graphs show all the orbits in a group and the intersections among them.

Because a group uniquely determines its cycle graph, no manipulations of them are possible. But users can still compute subgroups of interest and highlight elements or partitions just as with other visualizers.

The cycle graph to the left is of the 8-element quaternion group, and colors indicate how the group is partitioned into conjugacy classes.

Cycle graph of the semidirect product group of Z3 x Z3 with Z2.
Node colors show the left cosets of <x2,zy> and borders show the right cosets.

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You can download Group Explorer here, and the online help is far more in-depth than this introduction. Feel free to send comments and suggestions to the address below. Logo Contact Nathan Carter