Titlebook: Abstract Root Subgroups and Simple Groups of Lie-Type; Franz Georg Timmesfeld Book 2001 Birkh?user Verlag 2001 DEX.Finite.Group theory.Lie

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Arzneipflanzenkultur und Kr?uterhandelroups, which are generated by elements acting quadratically on some finite dimensional vector space . (quadratic pairs), can be reduced to abstract root subgroups. In fact, this was the main motivation for developing the theory of abstract root subgroups.

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Holzartige medizinische Pflanzen, .-root subgroups and abstract transvection groups. After discussing some examples, i. e. classical groups, we start to develop the elementary general theory of groups generated by a class of abstract root subgroups. Finally in §5 we show that each simple group of Lie type (in a general sense) is ge

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https://doi.org/10.1007/978-3-642-91965-7on of groups generated by abstract root subgroups. This root involution classification played an important role in the classification of finite simple groups and also for the determination of the subgroup structure of finite simple groups. Apart from its use for identifications of simple groups of c