Subgroups generated by root-elements of groups generated byk-root subgroups |
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Authors: | F G Timmesfeld |
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Institution: | (1) Mathematisches Institut, Arndtstrasse 2, 35392 Giessen, Germany |
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Abstract: | LetG be a Chevalley group over the fieldk and the class of long root subgroups ofG or an abstract group generated by a class of k-root subgroups. Then elements ofA, A are called root-elements. This paper is concerned with the question, whether a subgroupU ofG generated by root-elements is already generated byl-root subgroups,l a subfield ofk. Especially if it is shown that this is the case, whenU is a fixpoint subgroup under some set of automorphisms. |
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