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Presentations for Certain Chevalley Groups

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Abstract

Let G = P SLn(K), n ≥ 3, K a division ring or Dn(K), n ≥ 4 or En(K), 6 ≤ n ≤ 8, K a field. Then two types of presentations for G are given. In the first, G is generated by SL2(K)'s which satisfies relations according to the Dynkin diagram of G. In the second, G is generated by a set {Ai | i ∈ I } of Abelian groups, which satisfy relations similar to the root subgroups of G.

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  1. Mathematisches Institut, Arndtstrasse 2, 35392, Giessen, Germany; e-mail

    F. G. Timmesfeld

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  1. F. G. Timmesfeld
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Timmesfeld, F.G. Presentations for Certain Chevalley Groups. Geometriae Dedicata 73, 85–117 (1998). https://doi.org/10.1023/A:1005028409491

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  • DOI: https://doi.org/10.1023/A:1005028409491

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