Computing Conjugacy Classes of Elements in Matrix Groups

نویسنده

  • Alexander Hulpke
چکیده

This article describes a setup that – given a composition tree – provides functionality for calculation in finite matrix groups using the Trivial-Fitting approach that has been used successfully for permutation groups. It treats the composition tree as a black-box object. It thus is applicable to other classes of groups for which a composition tree can be obtained. As an example, we consider an effective algorithm for determining conjugacy class representatives.

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تاریخ انتشار 2013