Alexander Hulpke

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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(More)
When examining the structure of a finite group G, a typical question is the determination of the conjugacy classes of subgroups. For this problem a well-known algorithm – the cyclic extension method (Neubüser 1960, Mnich 1992) – has been in use for over 30 years. For practical purposes this algorithm is limited to groups of size a few thousand. If the(More)