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- W2008840293 abstract "Suppose G z G,(q) is a group of type w defined over the field GF(q). Then there is a class of subgroups, X, called root subgroups which generate G; each has order q and is parameterized by the field. Furthermore, the classes of groups in {(x, y): x, y E X} is rather small. In [3], McLaughlin considered the irreducible subgroups B of a group A,(q) z SL,+,(q) which are generated by root subgroups, where q # 2, and showed B = A,(q) or n is odd and B z Cta+I),z(q) z SP,+,(q). In [4], Stark determined those subgroups B of an orthogonal group S,(q) g enerated by root subgroups for the long roots such that B is transitive on the singular points of the associated orthogonal space. In this paper we consider a similar problem for the groups of type E,(q). More precisely we prove:" @default.
- W2008840293 created "2016-06-24" @default.
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- W2008840293 date "1977-06-01" @default.
- W2008840293 modified "2023-09-26" @default.
- W2008840293 title "Subgroups of the group E6(q) which are generated by root subgroups" @default.
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- W2008840293 doi "https://doi.org/10.1016/0021-8693(77)90376-3" @default.
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