Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585159 | Journal of Algebra | 2013 | 19 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexander Hulpke,