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On the computation of conjugacy classes of Chevalley groups

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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.

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Authors and Affiliations

  1. Institut für Experimentelle Mathematik, Universität Essen, Ellernstrasse 29, D-45326, Essen, Deutschland, Germany

    Peter Fleischmann & Ingo Janiszczak

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  1. Peter Fleischmann
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  2. Ingo Janiszczak
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The first author acknowledges financial support by a grant of the Deutsche Forschungsgemeinschaft

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Fleischmann, P., Janiszczak, I. On the computation of conjugacy classes of Chevalley groups. AAECC 7, 221–234 (1996). https://doi.org/10.1007/BF01190331

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  • DOI: https://doi.org/10.1007/BF01190331

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