On the computation of conjugacy classes of Chevalley groups |
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Authors: | Peter Fleischmann Ingo Janiszczak |
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Affiliation: | (1) Institut für Experimentelle Mathematik, Universität Essen, Ellernstrasse 29, D-45326 Essen, Deutschland, Germany |
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Abstract: | In this paper an algorithm is presented to determine the number of semisimple conjugacy classes for a given centralizertype for the Chevalley groupsSL
n(q) andSU
n(q). Moreover we give the exact number of regular semisimple classes of this groups and a summary of results on the generic classnumber of exceptional Chevalley groups of adjoint type.The first author acknowledges financial support by a grant of the Deutsche Forschungsgemeinschaft |
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Keywords: | Chevalley groups Semisimple conjugacy classes Genusnumbers Generic classnumbers Poset of partitions Regular semisimple classes |
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