Presentations for Certain Chevalley Groups |
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Authors: | F G Timmesfeld |
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Institution: | (1) Mathematisches Institut, Arndtstrasse 2, 35392 Giessen, Germany; e-mail |
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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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Keywords: | Chevalley groups Linear groups over a division ring |
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